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30891952 = 247313433
BaseRepresentation
bin111010111010…
…1111110110000
32011010110210101
41311311332300
530402020302
63022042144
7523402000
oct165657660
964113711
1030891952
111648a643
12a419354
136527c80
144162000
152aa3287
hex1d75fb0

30891952 has 80 divisors (see below), whose sum is σ = 75342400. Its totient is φ = 12192768.

The previous prime is 30891947. The next prime is 30891977. The reversal of 30891952 is 25919803.

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, 71128 + ... + 71560.

It is an arithmetic number, because the mean of its divisors is an integer number (941780).

Almost surely, 230891952 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 30891952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37671200).

30891952 is an abundant number, since it is smaller than the sum of its proper divisors (44450448).

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

30891952 is a wasteful number, since it uses less digits than its factorization.

30891952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 37.

The square root of 30891952 is about 5558.0528964737. The cubic root of 30891952 is about 313.7726727635.

It can be divided in two parts, 3089 and 1952, that added together give a square (5041 = 712).

The spelling of 30891952 in words is "thirty million, eight hundred ninety-one thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 182 196 208 343 364 392 433 637 686 728 784 866 1274 1372 1456 1732 2548 2744 3031 3464 4459 5096 5488 5629 6062 6928 8918 10192 11258 12124 17836 21217 22516 24248 35672 39403 42434 45032 48496 71344 78806 84868 90064 148519 157612 169736 275821 297038 315224 339472 551642 594076 630448 1103284 1188152 1930747 2206568 2376304 3861494 4413136 7722988 15445976 30891952