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42700752 = 24321915607
BaseRepresentation
bin1010001011100…
…0111111010000
32222100102102100
42202320333100
541412411002
64123120400
71025643663
oct242707720
988312370
1042700752
1122115786
1212373100
138b00c23
1459576da
153b3711c
hex28b8fd0

42700752 has 60 divisors (see below), whose sum is σ = 125800480. Its totient is φ = 13483584.

The previous prime is 42700747. The next prime is 42700759. The reversal of 42700752 is 25700724.

42700752 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 not an unprimeable number, because it can be changed into a prime (42700759) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 5068 + ... + 10539.

Almost surely, 242700752 is an apocalyptic number.

It is an amenable number.

42700752 is an abundant number, since it is smaller than the sum of its proper divisors (83099728).

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

42700752 is a wasteful number, since it uses less digits than its factorization.

42700752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15640 (or 15631 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 27.

The square root of 42700752 is about 6534.5812413651. The cubic root of 42700752 is about 349.5252120060.

The spelling of 42700752 in words is "forty-two million, seven hundred thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 15607 31214 46821 62428 93642 124856 140463 187284 249712 280926 296533 374568 561852 593066 749136 889599 1123704 1186132 1779198 2247408 2372264 2668797 3558396 4744528 5337594 7116792 10675188 14233584 21350376 42700752