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3923083125 = 3554131987
BaseRepresentation
bin1110100111010101…
…0111111101110101
3101010101222021100000
43221311113331311
531013302130000
61445141141513
7166134441063
oct35165277565
911111867300
103923083125
111733529465
129159ba899
134a6a00780
14293051033
1517e630000
hexe9d57f75

3923083125 has 120 divisors (see below), whose sum is σ = 7912192288. Its totient is φ = 1930392000.

The previous prime is 3923083097. The next prime is 3923083147. The reversal of 3923083125 is 5213803293.

3923083125 is a `hidden beast` number, since 39 + 2 + 308 + 312 + 5 = 666.

It is not a de Polignac number, because 3923083125 - 29 = 3923082613 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 3923083125.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1973382 + ... + 1975368.

Almost surely, 23923083125 is an apocalyptic number.

It is an amenable number.

3923083125 is an abundant number, since it is smaller than the sum of its proper divisors (3989109163).

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

3923083125 is an equidigital number, since it uses as much as digits as its factorization.

3923083125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2035 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 3923083125 is about 62634.5202344522. The cubic root of 3923083125 is about 1577.1603008404.

The spelling of 3923083125 in words is "three billion, nine hundred twenty-three million, eighty-three thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 125 135 195 225 243 325 351 375 405 585 625 675 975 1053 1125 1215 1625 1755 1875 1987 2025 2925 3159 3375 4875 5265 5625 5961 6075 8125 8775 9935 10125 14625 15795 16875 17883 24375 25831 26325 29805 30375 43875 49675 50625 53649 73125 77493 78975 89415 129155 131625 149025 151875 160947 219375 232479 248375 268245 387465 394875 447075 482841 645775 658125 697437 745125 804735 1162395 1241875 1341225 1937325 1974375 2092311 2235375 2414205 3228875 3487185 3725625 4023675 5811975 6276933 6706125 9686625 10461555 11176875 12071025 16144375 17435925 20118375 29059875 31384665 33530625 48433125 52307775 60355125 87179625 100591875 145299375 156923325 261538875 301775625 435898125 784616625 1307694375 3923083125