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42438720 = 263544207
BaseRepresentation
bin1010000111100…
…1000001000000
32221212002222110
42201321001000
541331014340
64113335320
71023503022
oct241710100
987762873
1042438720
1121a56925
1212267540
138a3b88c
1458ca012
153ad4680
hex2879040

42438720 has 56 divisors (see below), whose sum is σ = 134745984. Its totient is φ = 11316736.

The previous prime is 42438713. The next prime is 42438727. The reversal of 42438720 is 2783424.

It is an interprime number because it is at equal distance from previous prime (42438713) and next prime (42438727).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (42438727) 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, 21144 + ... + 23063.

Almost surely, 242438720 is an apocalyptic number.

42438720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42438720 is an abundant number, since it is smaller than the sum of its proper divisors (92307264).

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

42438720 is a wasteful number, since it uses less digits than its factorization.

42438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44227 (or 44217 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 42438720 is about 6514.5007483306. The cubic root of 42438720 is about 348.8087939314.

The spelling of 42438720 in words is "forty-two million, four hundred thirty-eight thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 44207 88414 132621 176828 221035 265242 353656 442070 530484 663105 707312 884140 1060968 1326210 1414624 1768280 2121936 2652420 2829248 3536560 4243872 5304840 7073120 8487744 10609680 14146240 21219360 42438720