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3875809536 = 283212972
BaseRepresentation
bin1110011100000100…
…0010100100000000
3101000010000112011100
43213001002210000
530414201401121
61440332014400
7165021560154
oct34701024400
911003015140
103875809536
111709880085
12902001400
13499c8b331
1428aa67064
1517a3e3026
hexe7042900

3875809536 has 81 divisors (see below), whose sum is σ = 11183537001. Its totient is φ = 1290940416.

The previous prime is 3875809529. The next prime is 3875809541. The reversal of 3875809536 is 6359085783.

It is a happy number.

The square root of 3875809536 is 62256.

It is a perfect power (a square), and thus also a powerful number.

3875809536 is a `hidden beast` number, since 3 + 8 + 7 + 580 + 9 + 53 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3863865600 + 11943936 = 62160^2 + 3456^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2987640 + ... + 2988936.

Almost surely, 23875809536 is an apocalyptic number.

3875809536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3875809536 is the 62256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3875809536

3875809536 is an abundant number, since it is smaller than the sum of its proper divisors (7307727465).

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

3875809536 is an frugal number, since it uses more digits than its factorization.

3875809536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The cubic root of 3875809536 is about 1570.7996975357.

The spelling of 3875809536 in words is "three billion, eight hundred seventy-five million, eight hundred nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 1297 2304 2594 3891 5188 7782 10376 11673 15564 20752 23346 31128 41504 46692 62256 83008 93384 124512 166016 186768 249024 332032 373536 498048 747072 996096 1494144 1682209 2988288 3364418 5046627 6728836 10093254 13457672 15139881 20186508 26915344 30279762 40373016 53830688 60559524 80746032 107661376 121119048 161492064 215322752 242238096 322984128 430645504 484476192 645968256 968952384 1291936512 1937904768 3875809536