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2925468 = 22327131947
BaseRepresentation
bin1011001010001110011100
312111121222200
423022032130
51222103333
6142411500
733603030
oct13121634
95447880
102925468
111718a47
12b90b90
137b5760
145621c0
153cbc13
hex2ca39c

2925468 has 144 divisors (see below), whose sum is σ = 9784320. Its totient is φ = 715392.

The previous prime is 2925467. The next prime is 2925469. The reversal of 2925468 is 8645292.

It is a happy number.

2925468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2925467) and next prime (2925469).

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (34560) is a multiple of the sum of its prime factors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2925463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62221 + ... + 62267.

22925468 is an apocalyptic number.

2925468 is a gapful number since it is divisible by the number (28) 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 2925468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4892160).

2925468 is an abundant number, since it is smaller than the sum of its proper divisors (6858852).

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

2925468 is a wasteful number, since it uses less digits than its factorization.

2925468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 91 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2925468 is about 1710.3999532273. The cubic root of 2925468 is about 143.0205522484.

It can be divided in two parts, 2925 and 468, that multiplied together give a square (1368900 = 11702).

The spelling of 2925468 in words is "two million, nine hundred twenty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 19 21 26 28 36 38 39 42 47 52 57 63 76 78 84 91 94 114 117 126 133 141 156 171 182 188 228 234 247 252 266 273 282 329 342 364 399 423 468 494 532 546 564 611 658 684 741 798 819 846 893 987 988 1092 1197 1222 1316 1482 1596 1638 1692 1729 1786 1833 1974 2223 2394 2444 2679 2961 2964 3276 3458 3572 3666 3948 4277 4446 4788 5187 5358 5499 5922 6251 6916 7332 8037 8554 8892 10374 10716 10998 11609 11844 12502 12831 15561 16074 17108 18753 20748 21996 23218 25004 25662 31122 32148 34827 37506 38493 46436 51324 56259 62244 69654 75012 76986 81263 104481 112518 139308 153972 162526 208962 225036 243789 325052 417924 487578 731367 975156 1462734 2925468