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30249864 = 23321034079
BaseRepresentation
bin111001101100…
…1001110001000
32002220212000100
41303121032020
530220443424
63000205400
7515056011
oct163311610
962825010
1030249864
1116091197
12a169860
136361938
144036008
1529c7dc9
hex1cd9388

30249864 has 48 divisors (see below), whose sum is σ = 82742400. Its totient is φ = 9982944.

The previous prime is 30249847. The next prime is 30249883. The reversal of 30249864 is 46894203.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 11 ways as a sum of consecutive naturals, for example, 5377 + ... + 9455.

It is an arithmetic number, because the mean of its divisors is an integer number (1723800).

Almost surely, 230249864 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 30249864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41371200).

30249864 is an abundant number, since it is smaller than the sum of its proper divisors (52492536).

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

30249864 is a wasteful number, since it uses less digits than its factorization.

30249864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4194 (or 4187 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 30249864 is about 5499.9876363497. The cubic root of 30249864 is about 311.5835172710.

It can be divided in two parts, 30249 and 864, that added together give a palindrome (31113).

The spelling of 30249864 in words is "thirty million, two hundred forty-nine thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1236 1854 2472 3708 4079 7416 8158 12237 16316 24474 32632 36711 48948 73422 97896 146844 293688 420137 840274 1260411 1680548 2520822 3361096 3781233 5041644 7562466 10083288 15124932 30249864