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42265920 = 263544027
BaseRepresentation
bin1010000100111…
…0110101000000
32221112022221110
42201032311000
541310002140
64105523320
71022153154
oct241166500
987468843
1042265920
1121949014
12121a3540
1389ab028
145883064
153a9d380
hex284ed40

42265920 has 56 divisors (see below), whose sum is σ = 134197344. Its totient is φ = 11270656.

The previous prime is 42265919. The next prime is 42265921. The reversal of 42265920 is 2956224.

It is an interprime number because it is at equal distance from previous prime (42265919) and next prime (42265921).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42265921) 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, 21054 + ... + 22973.

Almost surely, 242265920 is an apocalyptic number.

42265920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42265920 is an abundant number, since it is smaller than the sum of its proper divisors (91931424).

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

42265920 is a wasteful number, since it uses less digits than its factorization.

42265920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44047 (or 44037 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 42265920 is about 6501.2245000461. The cubic root of 42265920 is about 348.3347287984.

The spelling of 42265920 in words is "forty-two million, two hundred sixty-five thousand, nine 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 44027 88054 132081 176108 220135 264162 352216 440270 528324 660405 704432 880540 1056648 1320810 1408864 1761080 2113296 2641620 2817728 3522160 4226592 5283240 7044320 8453184 10566480 14088640 21132960 42265920