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42197568 = 263731397
BaseRepresentation
bin1010000011111…
…0001001000000
32221101212011220
42200332021000
541300310233
64104235040
71021446660
oct240761100
987355156
1042197568
1121901726
121216ba80
138985b9a
1458661a0
153a87eb3
hex283e240

42197568 has 56 divisors (see below), whose sum is σ = 127601472. Its totient is φ = 12056064.

The previous prime is 42197563. The next prime is 42197591. The reversal of 42197568 is 86579124.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×421975682 = 3561269490229248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (42197563) 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, 14355 + ... + 17042.

Almost surely, 242197568 is an apocalyptic number.

42197568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42197568 is an abundant number, since it is smaller than the sum of its proper divisors (85403904).

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

42197568 is a wasteful number, since it uses less digits than its factorization.

42197568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31419 (or 31409 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 42197568 is about 6495.9655171499. The cubic root of 42197568 is about 348.1468530687.

The spelling of 42197568 in words is "forty-two million, one hundred ninety-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 31397 62794 94191 125588 188382 219779 251176 376764 439558 502352 659337 753528 879116 1004704 1318674 1507056 1758232 2009408 2637348 3014112 3516464 5274696 6028224 7032928 10549392 14065856 21098784 42197568