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58991104 = 29292137
BaseRepresentation
bin1110000100001…
…0001000000000
311010000001120201
43201002020000
5110100203404
65504214544
71314262504
oct341021000
9133001521
1058991104
1130331987
121790a454
13c2b59a3
147b98304
1552a3ca4
hex3842200

58991104 has 60 divisors (see below), whose sum is σ = 122962554. Its totient is φ = 28270592.

The previous prime is 58991089. The next prime is 58991111. The reversal of 58991104 is 40119985.

It can be written as a sum of positive squares in 3 ways, for example, as 52998400 + 5992704 = 7280^2 + 2448^2 .

It is a super-2 number, since 2×589911042 = 6959900702277632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 430524 + ... + 430660.

Almost surely, 258991104 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 58991104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61481277).

58991104 is an abundant number, since it is smaller than the sum of its proper divisors (63971450).

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

58991104 is an equidigital number, since it uses as much as digits as its factorization.

58991104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 58991104 is about 7680.5666457625. The cubic root of 58991104 is about 389.2800744479.

It can be divided in two parts, 58991 and 104, that added together give a palindrome (59095).

The spelling of 58991104 in words is "fifty-eight million, nine hundred ninety-one thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 137 232 256 274 464 512 548 841 928 1096 1682 1856 2192 3364 3712 3973 4384 6728 7424 7946 8768 13456 14848 15892 17536 26912 31784 35072 53824 63568 70144 107648 115217 127136 215296 230434 254272 430592 460868 508544 921736 1017088 1843472 2034176 3686944 7373888 14747776 29495552 58991104