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1252472064 = 2837612143
BaseRepresentation
bin100101010100111…
…0011010100000000
310020021202011200020
41022221303110000
510031113101224
6324140453440
743015560024
oct11251632400
93207664606
101252472064
11592a95888
122ab54a280
1316c636b3c
14bc4ac384
1574e52c79
hex4aa73500

1252472064 has 72 divisors (see below), whose sum is σ = 3339340032. Its totient is φ = 416747520.

The previous prime is 1252472063. The next prime is 1252472131. The reversal of 1252472064 is 4602742521.

It is a super-2 number, since 2×12524720642 = 3137372542200840192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252472063) 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, 583377 + ... + 585519.

Almost surely, 21252472064 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 1252472064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1669670016).

1252472064 is an abundant number, since it is smaller than the sum of its proper divisors (2086867968).

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

1252472064 is an equidigital number, since it uses as much as digits as its factorization.

1252472064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2909 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 1252472064 is about 35390.2820559543. The cubic root of 1252472064 is about 1077.9269974647.

The spelling of 1252472064 in words is "one billion, two hundred fifty-two million, four hundred seventy-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 761 768 1522 2143 2283 3044 4286 4566 6088 6429 8572 9132 12176 12858 17144 18264 24352 25716 34288 36528 48704 51432 68576 73056 97408 102864 137152 146112 194816 205728 274304 292224 411456 548608 584448 822912 1630823 1645824 3261646 4892469 6523292 9784938 13046584 19569876 26093168 39139752 52186336 78279504 104372672 156559008 208745344 313118016 417490688 626236032 1252472064