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3752433090 = 2325718313253
BaseRepresentation
bin1101111110101001…
…1001010111000010
3100200111212100111100
43133222121113002
530141110324330
61420203355230
7161663104110
oct33752312702
910614770440
103752433090
11165617257a
12888822b16
1347a551613
1427850cab0
1516e672060
hexdfa995c2

3752433090 has 96 divisors (see below), whose sum is σ = 11159606016. Its totient is φ = 856967040.

The previous prime is 3752433031. The next prime is 3752433131. The reversal of 3752433090 is 903342573.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1151904 + ... + 1155156.

It is an arithmetic number, because the mean of its divisors is an integer number (116245896).

Almost surely, 23752433090 is an apocalyptic number.

3752433090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3752433090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5579803008).

3752433090 is an abundant number, since it is smaller than the sum of its proper divisors (7407172926).

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

3752433090 is a wasteful number, since it uses less digits than its factorization.

3752433090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5104 (or 5101 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 3752433090 is about 61257.1064448852. The cubic root of 3752433090 is about 1553.9521881704.

The spelling of 3752433090 in words is "three billion, seven hundred fifty-two million, four hundred thirty-three thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1831 3253 3662 5493 6506 9155 9759 10986 12817 16265 16479 18310 19518 22771 25634 27465 29277 32530 32958 38451 45542 48795 54930 58554 64085 68313 76902 82395 97590 113855 115353 128170 136626 146385 164790 192255 204939 227710 230706 292770 341565 384510 409878 576765 683130 1024695 1153530 2049390 5956243 11912486 17868729 29781215 35737458 41693701 53606187 59562430 83387402 89343645 107212374 125081103 178687290 208468505 250162206 268030935 375243309 416937010 536061870 625405515 750486618 1250811030 1876216545 3752433090