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99029952 = 263472729
BaseRepresentation
bin1011110011100…
…01001111000000
320220100020120000
411321301033000
5200322424302
613454320000
72311512030
oct571611700
9226306500
1099029952
115099973a
12291b9000
1317694108
14d21b8c0
158a6231c
hex5e713c0

99029952 has 140 divisors (see below), whose sum is σ = 335615280. Its totient is φ = 28283904.

The previous prime is 99029951. The next prime is 99029977. The reversal of 99029952 is 25992099.

It is a junction number, because it is equal to n+sod(n) for n = 99029898 and 99029907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99029951) by changing a digit.

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, 34924 + ... + 37652.

It is an arithmetic number, because the mean of its divisors is an integer number (2397252).

Almost surely, 299029952 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 99029952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167807640).

99029952 is an abundant number, since it is smaller than the sum of its proper divisors (236585328).

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

99029952 is a wasteful number, since it uses less digits than its factorization.

99029952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 131220, while the sum is 45.

The square root of 99029952 is about 9951.3794018719. The cubic root of 99029952 is about 462.6531493789.

The spelling of 99029952 in words is "ninety-nine million, twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 2729 3024 4032 4536 5184 5458 6048 8187 9072 10916 12096 16374 18144 19103 21832 24561 32748 36288 38206 43664 49122 57309 65496 73683 76412 87328 98244 114618 130992 147366 152824 171927 174656 196488 221049 229236 261984 294732 305648 343854 392976 442098 458472 515781 523968 589464 611296 687708 785952 884196 916944 1031562 1178928 1222592 1375416 1547343 1571904 1768392 1833888 2063124 2357856 2750832 3094686 3536784 3667776 4126248 4715712 5501664 6189372 7073568 8252496 11003328 12378744 14147136 16504992 24757488 33009984 49514976 99029952