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30881952 = 2533311153
BaseRepresentation
bin111010111001…
…1100010100000
32011002222002000
41311303202200
530401210302
63021524000
7523330563
oct165634240
964088060
1030881952
1116483082
12a413600
13652355a
14415c4da
152aa031c
hex1d738a0

30881952 has 96 divisors (see below), whose sum is σ = 93058560. Its totient is φ = 9953280.

The previous prime is 30881941. The next prime is 30881971. The reversal of 30881952 is 25918803.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26208 + ... + 27360.

It is an arithmetic number, because the mean of its divisors is an integer number (969360).

Almost surely, 230881952 is an apocalyptic number.

30881952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30881952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46529280).

30881952 is an abundant number, since it is smaller than the sum of its proper divisors (62176608).

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

30881952 is a wasteful number, since it uses less digits than its factorization.

30881952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 30881952 is about 5557.1532280476. The cubic root of 30881952 is about 313.7388121067.

The spelling of 30881952 in words is "thirty million, eight hundred eighty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 248 279 288 372 432 496 558 744 837 864 992 1116 1153 1488 1674 2232 2306 2976 3348 3459 4464 4612 6696 6918 8928 9224 10377 13392 13836 18448 20754 26784 27672 31131 35743 36896 41508 55344 62262 71486 83016 107229 110688 124524 142972 166032 214458 249048 285944 321687 332064 428916 498096 571888 643374 857832 965061 996192 1143776 1286748 1715664 1930122 2573496 3431328 3860244 5146992 7720488 10293984 15440976 30881952