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192077964 = 2232132131241
BaseRepresentation
bin10110111001011…
…10000010001100
3111101102120102200
423130232002030
5343132443324
631020521500
74521431031
oct1334560214
9441376380
10192077964
1199472021
12543b0290
1330a42500
141b71d388
1511ce1ec9
hexb72e08c

192077964 has 108 divisors (see below), whose sum is σ = 531963432. Its totient is φ = 58406400.

The previous prime is 192077957. The next prime is 192077987. The reversal of 192077964 is 469770291.

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 35 ways as a sum of consecutive naturals, for example, 796884 + ... + 797124.

Almost surely, 2192077964 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 192077964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265981716).

192077964 is an abundant number, since it is smaller than the sum of its proper divisors (339885468).

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

192077964 is a wasteful number, since it uses less digits than its factorization.

192077964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 192077964 is about 13859.2194585409. The cubic root of 192077964 is about 576.9779033516.

The spelling of 192077964 in words is "one hundred ninety-two million, seventy-seven thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 131 156 169 234 241 262 338 393 468 482 507 524 676 723 786 964 1014 1179 1446 1521 1572 1703 2028 2169 2358 2892 3042 3133 3406 4338 4716 5109 6084 6266 6812 8676 9399 10218 12532 15327 18798 20436 22139 28197 30654 31571 37596 40729 44278 56394 61308 63142 66417 81458 88556 94713 112788 122187 126284 132834 162916 189426 199251 244374 265668 284139 366561 378852 398502 410423 488748 568278 733122 797004 820846 1136556 1231269 1466244 1641692 2462538 3693807 4925076 5335499 7387614 10670998 14775228 16006497 21341996 32012994 48019491 64025988 96038982 192077964