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4089790100 = 22521110336097
BaseRepresentation
bin1111001111000101…
…0011111010010100
3101120000122212022102
43303301103322110
531333441240400
61513454221232
7203230433204
oct36361237224
911500585272
104089790100
111809641920
129617b4818
135023cbc56
142ab248404
1518e0ae9d5
hexf3c53e94

4089790100 has 72 divisors (see below), whose sum is σ = 9775915968. Its totient is φ = 1472716800.

The previous prime is 4089790093. The next prime is 4089790121. The reversal of 4089790100 is 10979804.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 95252 + ... + 131348.

Almost surely, 24089790100 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 4089790100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4887957984).

4089790100 is an abundant number, since it is smaller than the sum of its proper divisors (5686125868).

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

4089790100 is a wasteful number, since it uses less digits than its factorization.

4089790100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36225 (or 36218 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 38.

The square root of 4089790100 is about 63951.4667540941. The cubic root of 4089790100 is about 1599.1910102996.

The spelling of 4089790100 in words is "four billion, eighty-nine million, seven hundred ninety thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 206 220 275 412 515 550 1030 1100 1133 2060 2266 2575 4532 5150 5665 10300 11330 22660 28325 36097 56650 72194 113300 144388 180485 360970 397067 721940 794134 902425 1588268 1804850 1985335 3609700 3717991 3970670 7435982 7941340 9926675 14871964 18589955 19853350 37179910 39706700 40897901 74359820 81795802 92949775 163591604 185899550 204489505 371799100 408979010 817958020 1022447525 2044895050 4089790100