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42014592 = 273312157
BaseRepresentation
bin1010000001000…
…1011110000000
32221001120012000
42200101132000
541223431332
64100304000
71020055344
oct240213600
987046160
1042014592
1121797204
12120a2000
138920809
145819624
153a4db7c
hex2811780

42014592 has 64 divisors (see below), whose sum is σ = 124011600. Its totient is φ = 14003712.

The previous prime is 42014587. The next prime is 42014597. The reversal of 42014592 is 29541024.

42014592 is a `hidden beast` number, since 4 + 201 + 459 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (42014587) and next prime (42014597).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42014597) 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, 2623 + ... + 9534.

Almost surely, 242014592 is an apocalyptic number.

It is an amenable number.

42014592 is an abundant number, since it is smaller than the sum of its proper divisors (81997008).

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

42014592 is a wasteful number, since it uses less digits than its factorization.

42014592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12180 (or 12162 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 42014592 is about 6481.8663978826. The cubic root of 42014592 is about 347.6429155266.

The spelling of 42014592 in words is "forty-two million, fourteen thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 12157 24314 36471 48628 72942 97256 109413 145884 194512 218826 291768 328239 389024 437652 583536 656478 778048 875304 1167072 1312956 1556096 1750608 2334144 2625912 3501216 4668288 5251824 7002432 10503648 14004864 21007296 42014592