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914414928 = 243767151269
BaseRepresentation
bin110110100000001…
…101110101010000
32100201122002110120
4312200031311100
53333042234203
6230423030240
731442253510
oct6640156520
92321562416
10914414928
1142a188519
1221629b380
131175a292b
148962d840
1555427b53
hex3680dd50

914414928 has 160 divisors (see below), whose sum is σ = 2768394240. Its totient is φ = 254707200.

The previous prime is 914414927. The next prime is 914414987. The reversal of 914414928 is 829414419.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 914414928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (914414927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3399178 + ... + 3399446.

It is an arithmetic number, because the mean of its divisors is an integer number (17302464).

Almost surely, 2914414928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 914414928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1384197120).

914414928 is an abundant number, since it is smaller than the sum of its proper divisors (1853979312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

914414928 is a wasteful number, since it uses less digits than its factorization.

914414928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its digits is 82944, while the sum is 42.

The square root of 914414928 is about 30239.2944362133. The cubic root of 914414928 is about 970.6167219183.

It can be divided in two parts, 91441 and 4928, that added together give a palindrome (96369).

The spelling of 914414928 in words is "nine hundred fourteen million, four hundred fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 151 168 201 268 269 302 336 402 453 469 536 538 604 804 807 906 938 1057 1072 1076 1208 1407 1608 1614 1812 1876 1883 2114 2152 2416 2814 3171 3216 3228 3624 3752 3766 4228 4304 5628 5649 6342 6456 7248 7504 7532 8456 10117 11256 11298 12684 12912 15064 16912 18023 20234 22512 22596 25368 30128 30351 36046 40468 40619 45192 50736 54069 60702 70819 72092 80936 81238 90384 108138 121404 121857 126161 141638 144184 161872 162476 212457 216276 242808 243714 252322 283276 284333 288368 324952 378483 424914 432552 485616 487428 504644 566552 568666 649904 756966 849828 852999 865104 974856 1009288 1133104 1137332 1513932 1699656 1705998 1949712 2018576 2274664 2721473 3027864 3399312 3411996 4549328 5442946 6055728 6823992 8164419 10885892 13647984 16328838 19050311 21771784 32657676 38100622 43543568 57150933 65315352 76201244 114301866 130630704 152402488 228603732 304804976 457207464 914414928