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4530816 = 27341923
BaseRepresentation
bin10001010010001010000000
322112012010000
4101102022000
52124441231
6241040000
753340243
oct21221200
98465100
104530816
112615084
121626000
13c28374
1485d25a
155e76e6
hex452280

4530816 has 160 divisors (see below), whose sum is σ = 14810400. Its totient is φ = 1368576.

The previous prime is 4530791. The next prime is 4530817. The reversal of 4530816 is 6180354.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 4530816.

It is not an unprimeable number, because it can be changed into a prime (4530817) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 196981 + ... + 197003.

It is an arithmetic number, because the mean of its divisors is an integer number (92565).

Almost surely, 24530816 is an apocalyptic number.

4530816 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4530816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7405200).

4530816 is an abundant number, since it is smaller than the sum of its proper divisors (10279584).

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

4530816 is a wasteful number, since it uses less digits than its factorization.

4530816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 4530816 is about 2128.5713518696. The cubic root of 4530816 is about 165.4723654203.

The spelling of 4530816 in words is "four million, five hundred thirty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 23 24 27 32 36 38 46 48 54 57 64 69 72 76 81 92 96 108 114 128 138 144 152 162 171 184 192 207 216 228 276 288 304 324 342 368 384 414 432 437 456 513 552 576 608 621 648 684 736 828 864 874 912 1026 1104 1152 1216 1242 1296 1311 1368 1472 1539 1656 1728 1748 1824 1863 2052 2208 2432 2484 2592 2622 2736 2944 3078 3312 3456 3496 3648 3726 3933 4104 4416 4968 5184 5244 5472 6156 6624 6992 7296 7452 7866 8208 8832 9936 10368 10488 10944 11799 12312 13248 13984 14904 15732 16416 19872 20976 21888 23598 24624 26496 27968 29808 31464 32832 35397 39744 41952 47196 49248 55936 59616 62928 65664 70794 79488 83904 94392 98496 119232 125856 141588 167808 188784 196992 238464 251712 283176 377568 503424 566352 755136 1132704 1510272 2265408 4530816