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42640992 = 253416451
BaseRepresentation
bin1010001010101…
…0011001100000
32222020101110000
42202222121200
541404002432
64121540000
71025304522
oct242523140
988211400
1042640992
1122084899
1212344600
138aac974
14593da12
153b2457c
hex28aa660

42640992 has 60 divisors (see below), whose sum is σ = 125413596. Its totient is φ = 14212800.

The previous prime is 42640957. The next prime is 42641009. The reversal of 42640992 is 29904624.

42640992 is a `hidden beast` number, since 4 + 2 + 640 + 9 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5634 + ... + 10817.

Almost surely, 242640992 is an apocalyptic number.

It is an amenable number.

42640992 is an abundant number, since it is smaller than the sum of its proper divisors (82772604).

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

42640992 is a wasteful number, since it uses less digits than its factorization.

42640992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16473 (or 16456 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 42640992 is about 6530.0070444066. The cubic root of 42640992 is about 349.3620815583.

The spelling of 42640992 in words is "forty-two million, six hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 16451 32902 49353 65804 98706 131608 148059 197412 263216 296118 394824 444177 526432 592236 789648 888354 1184472 1332531 1579296 1776708 2368944 2665062 3553416 4737888 5330124 7106832 10660248 14213664 21320496 42640992