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42356928 = 2631719683
BaseRepresentation
bin1010000110010…
…1000011000000
32221200221210010
42201211003000
541320410203
64111504520
71023012405
oct241450300
987627703
1042356928
1121a00429
1212228140
138a10593
1458a82ac
153aba303
hex28650c0

42356928 has 112 divisors (see below), whose sum is σ = 125089920. Its totient is φ = 12570624.

The previous prime is 42356927. The next prime is 42356933. The reversal of 42356928 is 82965324.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42356921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61675 + ... + 62357.

Almost surely, 242356928 is an apocalyptic number.

42356928 is a gapful number since it is divisible by the number (48) 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 42356928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62544960).

42356928 is an abundant number, since it is smaller than the sum of its proper divisors (82732992).

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

42356928 is a wasteful number, since it uses less digits than its factorization.

42356928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 724 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 42356928 is about 6508.2200331581. The cubic root of 42356928 is about 348.5845638182.

The spelling of 42356928 in words is "forty-two million, three hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 136 152 192 204 228 272 304 323 408 456 544 608 646 683 816 912 969 1088 1216 1292 1366 1632 1824 1938 2049 2584 2732 3264 3648 3876 4098 5168 5464 7752 8196 10336 10928 11611 12977 15504 16392 20672 21856 23222 25954 31008 32784 34833 38931 43712 46444 51908 62016 65568 69666 77862 92888 103816 131136 139332 155724 185776 207632 220609 278664 311448 371552 415264 441218 557328 622896 661827 743104 830528 882436 1114656 1245792 1323654 1764872 2229312 2491584 2647308 3529744 5294616 7059488 10589232 14118976 21178464 42356928