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59096401 = 7213113821
BaseRepresentation
bin1110000101101…
…1110101010001
311010012102000121
43201123311101
5110112041101
65510350241
71315211500
oct341336521
9133172017
1059096401
11303a4001
121795b381
13c3218b0
147bc4837
1552c50a1
hex385bd51

59096401 has 24 divisors (see below), whose sum is σ = 74778984. Its totient is φ = 46287360.

The previous prime is 59096383. The next prime is 59096419. The reversal of 59096401 is 10469095.

It is an interprime number because it is at equal distance from previous prime (59096383) and next prime (59096419).

It can be written as a sum of positive squares in 4 ways, for example, as 3519376 + 55577025 = 1876^2 + 7455^2 .

It is not a de Polignac number, because 59096401 - 211 = 59094353 is a prime.

It is a super-2 number, since 2×590964012 = 6984769222305602, which contains 22 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (59096101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71571 + ... + 72391.

It is an arithmetic number, because the mean of its divisors is an integer number (3115791).

Almost surely, 259096401 is an apocalyptic number.

It is an amenable number.

59096401 is a deficient number, since it is larger than the sum of its proper divisors (15682583).

59096401 is a wasteful number, since it uses less digits than its factorization.

59096401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 59096401 is about 7687.4183572900. The cubic root of 59096401 is about 389.5115537546.

The spelling of 59096401 in words is "fifty-nine million, ninety-six thousand, four hundred one".

Divisors: 1 7 13 49 91 113 637 791 821 1469 5537 5747 10283 10673 40229 71981 74711 92773 522977 649411 1206049 4545877 8442343 59096401