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5601408 = 27329503
BaseRepresentation
bin10101010111100010000000
3101112120200120
4111113202000
52413221113
6320020240
765416431
oct25274200
911476616
105601408
11318646a
121a61680
131211757
14a5b488
15759a23
hex557880

5601408 has 64 divisors (see below), whose sum is σ = 15422400. Its totient is φ = 1799168.

The previous prime is 5601391. The next prime is 5601433. The reversal of 5601408 is 8041065.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10885 + ... + 11387.

It is an arithmetic number, because the mean of its divisors is an integer number (240975).

Almost surely, 25601408 is an apocalyptic number.

5601408 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5601408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7711200).

5601408 is an abundant number, since it is smaller than the sum of its proper divisors (9820992).

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

5601408 is a wasteful number, since it uses less digits than its factorization.

5601408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 5601408 is about 2366.7293888402. The cubic root of 5601408 is about 177.5956820637.

The spelling of 5601408 in words is "five million, six hundred one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 503 696 928 1006 1392 1509 1856 2012 2784 3018 3712 4024 5568 6036 8048 11136 12072 14587 16096 24144 29174 32192 43761 48288 58348 64384 87522 96576 116696 175044 193152 233392 350088 466784 700176 933568 1400352 1867136 2800704 5601408