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725955552 = 253272931229
BaseRepresentation
bin101011010001010…
…011001111100000
31212121000100210200
4223101103033200
52441321034202
6200011425200
723663343330
oct5321231740
91777010720
10725955552
11342868173
12183155200
13b75294ca
146c5b30c0
1543aece1c
hex2b4533e0

725955552 has 144 divisors (see below), whose sum is σ = 2369334240. Its totient is φ = 206539776.

The previous prime is 725955533. The next prime is 725955557. The reversal of 725955552 is 255559527.

It is a happy number.

725955552 is a `hidden beast` number, since 7 + 2 + 5 + 95 + 5 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×7259555522 = 1054022926959249408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 725955498 and 725955507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (725955557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 590074 + ... + 591302.

It is an arithmetic number, because the mean of its divisors is an integer number (16453710).

Almost surely, 2725955552 is an apocalyptic number.

725955552 is a gapful number since it is divisible by the number (72) 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 725955552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184667120).

725955552 is an abundant number, since it is smaller than the sum of its proper divisors (1643378688).

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

725955552 is a wasteful number, since it uses less digits than its factorization.

725955552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1534 counting only the distinct ones).

The product of its digits is 787500, while the sum is 45.

The square root of 725955552 is about 26943.5623479895. The cubic root of 725955552 is about 898.7453926204.

The spelling of 725955552 in words is "seven hundred twenty-five million, nine hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 293 336 504 586 672 879 1008 1172 1229 1758 2016 2051 2344 2458 2637 3516 3687 4102 4688 4916 5274 6153 7032 7374 8204 8603 9376 9832 10548 11061 12306 14064 14748 16408 17206 18459 19664 21096 22122 24612 25809 28128 29496 32816 34412 36918 39328 42192 44244 49224 51618 58992 65632 68824 73836 77427 84384 88488 98448 103236 117984 137648 147672 154854 176976 196896 206472 275296 295344 309708 353952 360097 412944 590688 619416 720194 825888 1080291 1238832 1440388 2160582 2477664 2520679 2880776 3240873 4321164 5041358 5761552 6481746 7562037 8642328 10082716 11523104 12963492 15124074 17284656 20165432 22686111 25926984 30248148 34569312 40330864 45372222 51853968 60496296 80661728 90744444 103707936 120992592 181488888 241985184 362977776 725955552