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964025472 = 2734915113
BaseRepresentation
bin111001011101011…
…101110010000000
32111011222120100010
4321131131302000
53433242303342
6235354224520
732614036614
oct7135356200
92434876303
10964025472
11455192673
1222aa25140
13124952997
1492065344
155997729c
hex3975dc80

964025472 has 64 divisors (see below), whose sum is σ = 2566409760. Its totient is φ = 320624640.

The previous prime is 964025467. The next prime is 964025501. The reversal of 964025472 is 274520469.

964025472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×9640254722 = 1858690221329645568, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 964025472.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185988 + ... + 191100.

Almost surely, 2964025472 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 964025472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283204880).

964025472 is an abundant number, since it is smaller than the sum of its proper divisors (1602384288).

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

964025472 is a wasteful number, since it uses less digits than its factorization.

964025472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5621 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 964025472 is about 31048.7595887501. The cubic root of 964025472 is about 987.8617496842.

The spelling of 964025472 in words is "nine hundred sixty-four million, twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 491 982 1473 1964 2946 3928 5113 5892 7856 10226 11784 15339 15712 20452 23568 30678 31424 40904 47136 61356 62848 81808 94272 122712 163616 188544 245424 327232 490848 654464 981696 1963392 2510483 5020966 7531449 10041932 15062898 20083864 30125796 40167728 60251592 80335456 120503184 160670912 241006368 321341824 482012736 964025472