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42640632 = 23324491319
BaseRepresentation
bin1010001010101…
…0010011111000
32222020100221200
42202222103320
541404000012
64121534200
71025303466
oct242522370
988210850
1042640632
11220845a1
1212344360
138aac758
14593d836
153b243dc
hex28aa4f8

42640632 has 48 divisors (see below), whose sum is σ = 115830000. Its totient is φ = 14171136.

The previous prime is 42640603. The next prime is 42640639. The reversal of 42640632 is 23604624.

42640632 is a `hidden beast` number, since 4 + 26 + 4 + 0 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 42640596 and 42640605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42640639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31669 + ... + 32987.

It is an arithmetic number, because the mean of its divisors is an integer number (2413125).

Almost surely, 242640632 is an apocalyptic number.

It is an amenable number.

42640632 is an abundant number, since it is smaller than the sum of its proper divisors (73189368).

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

42640632 is a wasteful number, since it uses less digits than its factorization.

42640632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1780 (or 1773 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 42640632 is about 6529.9794792939. The cubic root of 42640632 is about 349.3610983830.

The spelling of 42640632 in words is "forty-two million, six hundred forty thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 449 898 1319 1347 1796 2638 2694 3592 3957 4041 5276 5388 7914 8082 10552 10776 11871 15828 16164 23742 31656 32328 47484 94968 592231 1184462 1776693 2368924 3553386 4737848 5330079 7106772 10660158 14213544 21320316 42640632