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2472064524 = 2232796591319
BaseRepresentation
bin1001001101011000…
…1011011000001100
320101021121220000100
42103112023120030
520030322031044
61045144531100
7115155126126
oct22326133014
96337556010
102472064524
111059463736
1258ba80a90
133051cb097
1419645c216
15e705d869
hex9358b60c

2472064524 has 72 divisors (see below), whose sum is σ = 6342336000. Its totient is φ = 811740384.

The previous prime is 2472064477. The next prime is 2472064601. The reversal of 2472064524 is 4254602742.

2472064524 is a `hidden beast` number, since 2 + 4 + 7 + 2 + 0 + 645 + 2 + 4 = 666.

It is a super-2 number, since 2×24720645242 = 12222206021638693152, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1873537 + ... + 1874855.

It is an arithmetic number, because the mean of its divisors is an integer number (88088000).

Almost surely, 22472064524 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 2472064524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171168000).

2472064524 is an abundant number, since it is smaller than the sum of its proper divisors (3870271476).

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

2472064524 is a wasteful number, since it uses less digits than its factorization.

2472064524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2067 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 2472064524 is about 49719.8604583722. The cubic root of 2472064524 is about 1352.1346245914.

The spelling of 2472064524 in words is "two billion, four hundred seventy-two million, sixty-four thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 659 711 948 1318 1319 1422 1977 2636 2638 2844 3954 3957 5276 5931 7908 7914 11862 11871 15828 23724 23742 47484 52061 104122 104201 156183 208244 208402 312366 312603 416804 468549 624732 625206 869221 937098 937809 1250412 1738442 1874196 1875618 2607663 3476884 3751236 5215326 7822989 10430652 15645978 31291956 68668459 137336918 206005377 274673836 412010754 618016131 824021508 1236032262 2472064524