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42455792 = 2423432683
BaseRepresentation
bin1010000111110…
…1001011110000
32221212222101202
42201331023300
541332041132
64113550332
71023603551
oct241751360
987788352
1042455792
1121a68735
12122753a8
138a46592
1458d2328
153ad9762
hex287d2f0

42455792 has 40 divisors (see below), whose sum is σ = 87863424. Its totient is φ = 19825344.

The previous prime is 42455789. The next prime is 42455801. The reversal of 42455792 is 29755424.

42455792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14483 + ... + 17165.

Almost surely, 242455792 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 42455792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43931712).

42455792 is an abundant number, since it is smaller than the sum of its proper divisors (45407632).

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

42455792 is a wasteful number, since it uses less digits than its factorization.

42455792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757 (or 2751 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 42455792 is about 6515.8109242058. The cubic root of 42455792 is about 348.8555599147.

The spelling of 42455792 in words is "forty-two million, four hundred fifty-five thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 16 23 43 46 86 92 172 184 344 368 688 989 1978 2683 3956 5366 7912 10732 15824 21464 42928 61709 115369 123418 230738 246836 461476 493672 922952 987344 1845904 2653487 5306974 10613948 21227896 42455792