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58269408 = 2535711063
BaseRepresentation
bin1101111001000…
…1111011100000
311001122101121020
43132101323200
5104404110113
65440525440
71305165441
oct336217340
9131571536
1058269408
112a98973a
1217620880
13c0c2352
147a4b2c8
1551b0023
hex3791ee0

58269408 has 48 divisors (see below), whose sum is σ = 153369216. Its totient is φ = 19370880.

The previous prime is 58269401. The next prime is 58269433. The reversal of 58269408 is 80496285.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 58269408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58269401) 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, 54285 + ... + 55347.

It is an arithmetic number, because the mean of its divisors is an integer number (3195192).

Almost surely, 258269408 is an apocalyptic number.

It is an amenable number.

58269408 is an abundant number, since it is smaller than the sum of its proper divisors (95099808).

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

58269408 is a wasteful number, since it uses less digits than its factorization.

58269408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1639 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 58269408 is about 7633.4401157014. The cubic root of 58269408 is about 387.6860747685.

The spelling of 58269408 in words is "fifty-eight million, two hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 571 1063 1142 1713 2126 2284 3189 3426 4252 4568 6378 6852 8504 9136 12756 13704 17008 18272 25512 27408 34016 51024 54816 102048 606973 1213946 1820919 2427892 3641838 4855784 7283676 9711568 14567352 19423136 29134704 58269408