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30973952 = 21319199
BaseRepresentation
bin111011000101…
…0000000000000
32011021122021102
41312022000000
530412131302
63023513532
7524163032
oct166120000
964248242
1030973952
1116536209
12a4588a8
1365563a9
144183c52
152abc702
hex1d8a000

30973952 has 56 divisors (see below), whose sum is σ = 65532000. Its totient is φ = 14598144.

The previous prime is 30973931. The next prime is 30973961. The reversal of 30973952 is 25937903.

It is a Harshad number since it is a multiple of its sum of digits (38).

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 3 ways as a sum of consecutive naturals, for example, 155549 + ... + 155747.

Almost surely, 230973952 is an apocalyptic number.

30973952 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 30973952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32766000).

30973952 is an abundant number, since it is smaller than the sum of its proper divisors (34558048).

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

30973952 is an equidigital number, since it uses as much as digits as its factorization.

30973952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 38.

The square root of 30973952 is about 5565.4246917913. The cubic root of 30973952 is about 314.0500549032.

The spelling of 30973952 in words is "thirty million, nine hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 199 256 304 398 512 608 796 1024 1216 1592 2048 2432 3184 3781 4096 4864 6368 7562 8192 9728 12736 15124 19456 25472 30248 38912 50944 60496 77824 101888 120992 155648 203776 241984 407552 483968 815104 967936 1630208 1935872 3871744 7743488 15486976 30973952