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425944656 = 24341719333
BaseRepresentation
bin11001011000110…
…110011001010000
31002200111020020000
4121120312121100
51333020212111
6110133250000
713361320104
oct3130663120
91080436200
10425944656
111a9486585
12ba793900
136a326777
14407d9904
15275dac56
hex19636650

425944656 has 100 divisors (see below), whose sum is σ = 1305393012. Its totient is φ = 133622784.

The previous prime is 425944643. The next prime is 425944669. The reversal of 425944656 is 656449524.

425944656 is a `hidden beast` number, since 4 + 2 + 594 + 4 + 6 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (425944643) and next prime (425944669).

It can be written as a sum of positive squares in 2 ways, for example, as 370947600 + 54997056 = 19260^2 + 7416^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12366 + ... + 31698.

Almost surely, 2425944656 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 425944656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652696506).

425944656 is an abundant number, since it is smaller than the sum of its proper divisors (879448356).

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

425944656 is a wasteful number, since it uses less digits than its factorization.

425944656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19370 (or 19355 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 425944656 is about 20638.4266842218. The cubic root of 425944656 is about 752.4039345658.

The spelling of 425944656 in words is "four hundred twenty-five million, nine hundred forty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 153 162 204 216 272 306 324 408 432 459 612 648 816 918 1224 1296 1377 1836 2448 2754 3672 5508 7344 11016 19333 22032 38666 57999 77332 115998 154664 173997 231996 309328 328661 347994 463992 521991 657322 695988 927984 985983 1043982 1314644 1391976 1565973 1971966 2087964 2629288 2783952 2957949 3131946 3943932 4175928 5258576 5915898 6263892 7887864 8351856 8873847 11831796 12527784 15775728 17747694 23663592 25055568 26621541 35495388 47327184 53243082 70990776 106486164 141981552 212972328 425944656