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42076692 = 2233727951
BaseRepresentation
bin1010000010000…
…0101000010100
32221011201101000
42200200220110
541232423232
64101503300
71020434400
oct240405024
987151330
1042076692
1121829929
1212111b30
138942b68
145834100
153a6227c
hex2820a14

42076692 has 72 divisors (see below), whose sum is σ = 126913920. Its totient is φ = 12020400.

The previous prime is 42076681. The next prime is 42076721. The reversal of 42076692 is 29667024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1317 + ... + 9267.

Almost surely, 242076692 is an apocalyptic number.

42076692 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42076692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63456960).

42076692 is an abundant number, since it is smaller than the sum of its proper divisors (84837228).

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

42076692 is a wasteful number, since it uses less digits than its factorization.

42076692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7978 (or 7963 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 42076692 is about 6486.6549160565. The cubic root of 42076692 is about 347.8141099961.

The spelling of 42076692 in words is "forty-two million, seventy-six thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 7951 15902 23853 31804 47706 55657 71559 95412 111314 143118 166971 214677 222628 286236 333942 389599 429354 500913 667884 779198 858708 1001826 1168797 1502739 1558396 2003652 2337594 3005478 3506391 4675188 6010956 7012782 10519173 14025564 21038346 42076692