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3752058401 = 713228111287
BaseRepresentation
bin1101111110100011…
…1101111000100001
3100200111011022111222
43133220331320201
530141011332101
61420151344425
7161656653530
oct33750757041
910614138458
103752058401
111655a37013
12888682115
1347a44cc00
14278452317
1516e5eb01b
hexdfa3de21

3752058401 has 24 divisors (see below), whose sum is σ = 4660228224. Its totient is φ = 2957834880.

The previous prime is 3752058361. The next prime is 3752058437. The reversal of 3752058401 is 1048502573.

It is a happy number.

It is not a de Polignac number, because 3752058401 - 210 = 3752057377 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3752054401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326780 + ... + 338066.

It is an arithmetic number, because the mean of its divisors is an integer number (194176176).

Almost surely, 23752058401 is an apocalyptic number.

It is an amenable number.

3752058401 is a deficient number, since it is larger than the sum of its proper divisors (908169823).

3752058401 is a wasteful number, since it uses less digits than its factorization.

3752058401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11601 (or 11588 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 3752058401 is about 61254.0480376603. The cubic root of 3752058401 is about 1553.9004645590.

The spelling of 3752058401 in words is "three billion, seven hundred fifty-two million, fifty-eight thousand, four hundred one".

Divisors: 1 7 13 91 169 281 1183 1967 3653 11287 25571 47489 79009 146731 332423 1027117 1907503 3171647 13352521 22201529 41231411 288619877 536008343 3752058401