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99380952 = 233311151277
BaseRepresentation
bin1011110110001…
…10111011011000
320221000002001000
411323012323120
5200420142302
613510025000
72314503246
oct573067330
9227002030
1099380952
1151109420
1229348160
1317787ac8
14d2ad796
158ad131c
hex5ec6ed8

99380952 has 128 divisors (see below), whose sum is σ = 304243200. Its totient is φ = 29808000.

The previous prime is 99380881. The next prime is 99380977. The reversal of 99380952 is 25908399.

It is a junction number, because it is equal to n+sod(n) for n = 99380898 and 99380907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358638 + ... + 358914.

It is an arithmetic number, because the mean of its divisors is an integer number (2376900).

Almost surely, 299380952 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 99380952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152121600).

99380952 is an abundant number, since it is smaller than the sum of its proper divisors (204862248).

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

99380952 is a wasteful number, since it uses less digits than its factorization.

99380952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 99380952 is about 9968.9995486007. Note that the first 3 decimals coincide. The cubic root of 99380952 is about 463.1991113838.

The spelling of 99380952 in words is "ninety-nine million, three hundred eighty thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 151 198 216 264 277 297 302 396 453 554 594 604 792 831 906 1108 1188 1208 1359 1661 1662 1812 2216 2376 2493 2718 3047 3322 3324 3624 4077 4983 4986 5436 6094 6644 6648 7479 8154 9141 9966 9972 10872 12188 13288 14949 14958 16308 18282 19932 19944 24376 27423 29898 29916 32616 36564 39864 41827 44847 54846 59796 59832 73128 82269 83654 89694 109692 119592 125481 164538 167308 179388 219384 250962 329076 334616 358776 376443 460097 501924 658152 752886 920194 1003848 1129329 1380291 1505772 1840388 2258658 2760582 3011544 3680776 4140873 4517316 5521164 8281746 9034632 11042328 12422619 16563492 24845238 33126984 49690476 99380952