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42245760 = 273522003
BaseRepresentation
bin1010000100100…
…1111010000000
32221111022021210
42201021322000
541303331020
64105250120
71022040324
oct241117200
987438253
1042245760
1121934957
1212193940
1389a1abb
145879984
153a973e0
hex2849e80

42245760 has 64 divisors (see below), whose sum is σ = 134664480. Its totient is φ = 11265024.

The previous prime is 42245741. The next prime is 42245783. The reversal of 42245760 is 6754224.

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 (30).

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, 9082 + ... + 12921.

Almost surely, 242245760 is an apocalyptic number.

42245760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42245760 is an abundant number, since it is smaller than the sum of its proper divisors (92418720).

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

42245760 is a wasteful number, since it uses less digits than its factorization.

42245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22025 (or 22013 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 42245760 is about 6499.6738379706. The cubic root of 42245760 is about 348.2793370869.

Adding to 42245760 its reverse (6754224), we get a palindrome (48999984).

The spelling of 42245760 in words is "forty-two million, two hundred forty-five thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 22003 44006 66009 88012 110015 132018 176024 220030 264036 330045 352048 440060 528072 660090 704096 880120 1056144 1320180 1408192 1760240 2112288 2640360 2816384 3520480 4224576 5280720 7040960 8449152 10561440 14081920 21122880 42245760