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42351792 = 2437126047
BaseRepresentation
bin1010000110001…
…1110010110000
32221200200201220
42201203302300
541320224132
64111425040
71022661420
oct241436260
987620656
1042351792
11219a758a
1212225180
138a0b142
1458a6480
153ab8a2c
hex2863cb0

42351792 has 40 divisors (see below), whose sum is σ = 125039616. Its totient is φ = 12100416.

The previous prime is 42351787. The next prime is 42351847. The reversal of 42351792 is 29715324.

It is a super-2 number, since 2×423517922 = 3587348571222528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62688 + ... + 63359.

Almost surely, 242351792 is an apocalyptic number.

42351792 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42351792 is an abundant number, since it is smaller than the sum of its proper divisors (82687824).

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

42351792 is a wasteful number, since it uses less digits than its factorization.

42351792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126065 (or 126059 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 42351792 is about 6507.8254432644. The cubic root of 42351792 is about 348.5704740123.

The spelling of 42351792 in words is "forty-two million, three hundred fifty-one thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 126047 252094 378141 504188 756282 882329 1008376 1512564 1764658 2016752 2646987 3025128 3529316 5293974 6050256 7058632 10587948 14117264 21175896 42351792