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30875264 = 277172027
BaseRepresentation
bin111010111000…
…1111010000000
32011002121220022
41311301322000
530401002024
63021433012
7523302230
oct165617200
964077808
1030875264
1116479052
12a40b768
1365204b4
144159cc0
152a9d35e
hex1d71e80

30875264 has 64 divisors (see below), whose sum is σ = 74468160. Its totient is φ = 12447744.

The previous prime is 30875263. The next prime is 30875267. The reversal of 30875264 is 46257803.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (30875263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14219 + ... + 16245.

It is an arithmetic number, because the mean of its divisors is an integer number (1163565).

Almost surely, 230875264 is an apocalyptic number.

30875264 is a gapful number since it is divisible by the number (34) 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 30875264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37234080).

30875264 is an abundant number, since it is smaller than the sum of its proper divisors (43592896).

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

30875264 is a wasteful number, since it uses less digits than its factorization.

30875264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2065 (or 2053 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 30875264 is about 5556.5514485155. The cubic root of 30875264 is about 313.7161620200.

The spelling of 30875264 in words is "thirty million, eight hundred seventy-five thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 272 448 476 544 896 952 1088 1904 2027 2176 3808 4054 7616 8108 14189 15232 16216 28378 32432 34459 56756 64864 68918 113512 129728 137836 227024 241213 259456 275672 454048 482426 551344 908096 964852 1102688 1816192 1929704 2205376 3859408 4410752 7718816 15437632 30875264