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42690752 = 261323947
BaseRepresentation
bin1010001011011…
…0100011000000
32222022220200222
42202312203000
541412101002
64123002212
71025602556
oct242664300
988286628
1042690752
1122109215
1212369368
138ac9500
145953bd6
153b341a2
hex28b68c0

42690752 has 42 divisors (see below), whose sum is σ = 91755468. Its totient is φ = 19698432.

The previous prime is 42690743. The next prime is 42690763. The reversal of 42690752 is 25709624.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8843 + ... + 12789.

It is an arithmetic number, because the mean of its divisors is an integer number (2184654).

Almost surely, 242690752 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 42690752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45877734).

42690752 is an abundant number, since it is smaller than the sum of its proper divisors (49064716).

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

42690752 is a wasteful number, since it uses less digits than its factorization.

42690752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3985 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 42690752 is about 6533.8160365899. The cubic root of 42690752 is about 349.4979250158.

The spelling of 42690752 in words is "forty-two million, six hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 169 208 338 416 676 832 1352 2704 3947 5408 7894 10816 15788 31576 51311 63152 102622 126304 205244 252608 410488 667043 820976 1334086 1641952 2668172 3283904 5336344 10672688 21345376 42690752