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413125056 = 26331912583
BaseRepresentation
bin11000100111111…
…100100111000000
31001210100221001000
4120213330213000
51321230000211
6104554412000
713144335141
oct3047744700
91053327030
10413125056
111a221aa73
12b6431000
13677886c6
143cc1dac8
1526407656
hex189fc9c0

413125056 has 112 divisors (see below), whose sum is σ = 1278534400. Its totient is φ = 130450176.

The previous prime is 413125043. The next prime is 413125093. The reversal of 413125056 is 650521314.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26541 + ... + 39123.

Almost surely, 2413125056 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 413125056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639267200).

413125056 is an abundant number, since it is smaller than the sum of its proper divisors (865409344).

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

413125056 is a wasteful number, since it uses less digits than its factorization.

413125056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12623 (or 12607 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 413125056 is about 20325.4780017593. The cubic root of 413125056 is about 744.7785814076.

The spelling of 413125056 in words is "four hundred thirteen million, one hundred twenty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 684 864 912 1026 1216 1368 1728 1824 2052 2736 3648 4104 5472 8208 10944 12583 16416 25166 32832 37749 50332 75498 100664 113247 150996 201328 226494 239077 301992 339741 402656 452988 478154 603984 679482 717231 805312 905976 956308 1207968 1358964 1434462 1811952 1912616 2151693 2415936 2717928 2868924 3623904 3825232 4303386 5435856 5737848 6455079 7247808 7650464 8606772 10871712 11475696 12910158 15300928 17213544 21743424 22951392 25820316 34427088 45902784 51640632 68854176 103281264 137708352 206562528 413125056