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42700992 = 263297669
BaseRepresentation
bin1010001011100…
…1000011000000
32222100102202020
42202321003000
541412412432
64123121440
71025644455
oct242710300
988312666
1042700992
1122115984
1212373280
138b01079
14595782c
153b3722c
hex28b90c0

42700992 has 56 divisors (see below), whose sum is σ = 116890800. Its totient is φ = 13741056.

The previous prime is 42700969. The next prime is 42700993. The reversal of 42700992 is 29900724.

It is not an unprimeable number, because it can be changed into a prime (42700993) 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, 1734 + ... + 9402.

Almost surely, 242700992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42700992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58445400).

42700992 is an abundant number, since it is smaller than the sum of its proper divisors (74189808).

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

42700992 is a wasteful number, since it uses less digits than its factorization.

42700992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7713 (or 7703 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 42700992 is about 6534.5996051786. The cubic root of 42700992 is about 349.5258668414.

The spelling of 42700992 in words is "forty-two million, seven hundred thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 174 192 232 348 464 696 928 1392 1856 2784 5568 7669 15338 23007 30676 46014 61352 92028 122704 184056 222401 245408 368112 444802 490816 667203 736224 889604 1334406 1472448 1779208 2668812 3558416 5337624 7116832 10675248 14233664 21350496 42700992