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58004176 = 2429413049
BaseRepresentation
bin1101110101000…
…1001011010000
311001010220202211
43131101023100
5104322113201
65431121504
71303012246
oct335211320
9131126684
1058004176
112a81843a
1217513294
13c02b6c9
1479bc796
15515b651
hex37512d0

58004176 has 40 divisors (see below), whose sum is σ = 119133000. Its totient is φ = 27310080.

The previous prime is 58004171. The next prime is 58004203. The reversal of 58004176 is 67140085.

It can be written as a sum of positive squares in 4 ways, for example, as 608400 + 57395776 = 780^2 + 7576^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58004171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17500 + ... + 20548.

It is an arithmetic number, because the mean of its divisors is an integer number (2978325).

Almost surely, 258004176 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 58004176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59566500).

58004176 is an abundant number, since it is smaller than the sum of its proper divisors (61128824).

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

58004176 is a wasteful number, since it uses less digits than its factorization.

58004176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3127 (or 3121 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 58004176 is about 7616.0472687609. The cubic root of 58004176 is about 387.0969539438.

The spelling of 58004176 in words is "fifty-eight million, four thousand, one hundred seventy-six".

Divisors: 1 2 4 8 16 29 41 58 82 116 164 232 328 464 656 1189 2378 3049 4756 6098 9512 12196 19024 24392 48784 88421 125009 176842 250018 353684 500036 707368 1000072 1414736 2000144 3625261 7250522 14501044 29002088 58004176