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189881496 = 23347411021
BaseRepresentation
bin10110101000101…
…01110010011000
3111020021222110000
423110111302120
5342102201441
630501453000
74463652240
oct1324256230
9436258400
10189881496
1198201862
1253711160
133045381c
141b30ab20
1511a0b2b6
hexb515c98

189881496 has 160 divisors (see below), whose sum is σ = 623256480. Its totient is φ = 52876800.

The previous prime is 189881467. The next prime is 189881501. The reversal of 189881496 is 694188981.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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 39 ways as a sum of consecutive naturals, for example, 185466 + ... + 186486.

It is an arithmetic number, because the mean of its divisors is an integer number (3895353).

Almost surely, 2189881496 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 189881496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311628240).

189881496 is an abundant number, since it is smaller than the sum of its proper divisors (433374984).

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

189881496 is a wasteful number, since it uses less digits than its factorization.

189881496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1074 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 189881496 is about 13779.7494897404. The cubic root of 189881496 is about 574.7701624585.

The spelling of 189881496 in words is "one hundred eighty-nine million, eight hundred eighty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 81 82 84 108 123 126 162 164 168 189 216 246 252 287 324 328 369 378 492 504 567 574 648 738 756 861 984 1021 1107 1134 1148 1476 1512 1722 2042 2214 2268 2296 2583 2952 3063 3321 3444 4084 4428 4536 5166 6126 6642 6888 7147 7749 8168 8856 9189 10332 12252 13284 14294 15498 18378 20664 21441 23247 24504 26568 27567 28588 30996 36756 41861 42882 46494 55134 57176 61992 64323 73512 82701 83722 85764 92988 110268 125583 128646 165402 167444 171528 185976 192969 220536 251166 257292 293027 330804 334888 376749 385938 502332 514584 578907 586054 661608 753498 771876 879081 1004664 1130247 1157814 1172108 1506996 1543752 1758162 2260494 2315628 2344216 2637243 3013992 3390741 3516324 4520988 4631256 5274486 6781482 7032648 7911729 9041976 10548972 13562964 15823458 21097944 23735187 27125928 31646916 47470374 63293832 94940748 189881496