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855952992 = 253217792213
BaseRepresentation
bin110011000001001…
…100111001100000
32012122121220202200
4303001030321200
53223110443432
6220534013200
730132323526
oct6301147140
92178556680
10855952992
113aa188174
121ba7a7200
13108443a7b
1481972316
155022aa7c
hex3304ce60

855952992 has 144 divisors (see below), whose sum is σ = 2611103040. Its totient is φ = 265015296.

The previous prime is 855952987. The next prime is 855953003. The reversal of 855952992 is 299259558.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385678 + ... + 387890.

It is an arithmetic number, because the mean of its divisors is an integer number (18132660).

Almost surely, 2855952992 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 855952992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305551520).

855952992 is an abundant number, since it is smaller than the sum of its proper divisors (1755150048).

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

855952992 is a wasteful number, since it uses less digits than its factorization.

855952992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2325 (or 2314 counting only the distinct ones).

The product of its digits is 2916000, while the sum is 54.

The square root of 855952992 is about 29256.6743154447. The cubic root of 855952992 is about 949.4744986567.

The spelling of 855952992 in words is "eight hundred fifty-five million, nine hundred fifty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 79 96 102 136 144 153 158 204 237 272 288 306 316 408 474 544 612 632 711 816 948 1224 1264 1343 1422 1632 1896 2213 2448 2528 2686 2844 3792 4029 4426 4896 5372 5688 6639 7584 8058 8852 10744 11376 12087 13278 16116 17704 19917 21488 22752 24174 26556 32232 35408 37621 39834 42976 48348 53112 64464 70816 75242 79668 96696 106224 112863 128928 150484 159336 174827 193392 212448 225726 300968 318672 338589 349654 386784 451452 524481 601936 637344 677178 699308 902904 1048962 1203872 1354356 1398616 1573443 1805808 2097924 2708712 2797232 2972059 3146886 3611616 4195848 5417424 5594464 5944118 6293772 8391696 8916177 10834848 11888236 12587544 16783392 17832354 23776472 25175088 26748531 35664708 47552944 50350176 53497062 71329416 95105888 106994124 142658832 213988248 285317664 427976496 855952992