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29950992 = 2433194189
BaseRepresentation
bin111001001000…
…0010000010000
32002100200001000
41302100100100
530131412432
62545542000
7512402451
oct162202020
962320030
1029950992
11159a7695
12a044900
1362888a6
143d99128
15296957c
hex1c90410

29950992 has 160 divisors (see below), whose sum is σ = 93744000. Its totient is φ = 9123840.

The previous prime is 29950979. The next prime is 29951003. The reversal of 29950992 is 29905992.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 336484 + ... + 336572.

It is an arithmetic number, because the mean of its divisors is an integer number (585900).

Almost surely, 229950992 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 29950992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872000).

29950992 is an abundant number, since it is smaller than the sum of its proper divisors (63793008).

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

29950992 is a wasteful number, since it uses less digits than its factorization.

29950992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 154 counting only the distinct ones).

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

The square root of 29950992 is about 5472.7499486090. The cubic root of 29950992 is about 310.5539592097.

The spelling of 29950992 in words is "twenty-nine million, nine hundred fifty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 41 48 54 57 72 76 82 89 108 114 123 144 152 164 171 178 216 228 246 267 304 328 342 356 369 432 456 492 513 534 656 684 712 738 779 801 912 984 1026 1068 1107 1368 1424 1476 1558 1602 1691 1968 2052 2136 2214 2337 2403 2736 2952 3116 3204 3382 3649 4104 4272 4428 4674 4806 5073 5904 6232 6408 6764 7011 7298 8208 8856 9348 9612 10146 10947 12464 12816 13528 14022 14596 15219 17712 18696 19224 20292 21033 21894 27056 28044 29192 30438 32841 37392 38448 40584 42066 43788 45657 56088 58384 60876 65682 69331 81168 84132 87576 91314 98523 112176 121752 131364 138662 168264 175152 182628 197046 207993 243504 262728 277324 336528 365256 394092 415986 525456 554648 623979 730512 788184 831972 1109296 1247958 1576368 1663944 1871937 2495916 3327888 3743874 4991832 7487748 9983664 14975496 29950992