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42192192 = 263731393
BaseRepresentation
bin1010000011110…
…0110101000000
32221101120210210
42200330311000
541300122232
64104154120
71021425210
oct240746500
987346723
1042192192
11218a8689
1212168940
1389835c3
145864240
153a865cc
hex283cd40

42192192 has 56 divisors (see below), whose sum is σ = 127585216. Its totient is φ = 12054528.

The previous prime is 42192167. The next prime is 42192203. The reversal of 42192192 is 29129124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14353 + ... + 17040.

Almost surely, 242192192 is an apocalyptic number.

42192192 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42192192 is an abundant number, since it is smaller than the sum of its proper divisors (85393024).

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

42192192 is a wasteful number, since it uses less digits than its factorization.

42192192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31415 (or 31405 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 42192192 is about 6495.5517086696. The cubic root of 42192192 is about 348.1320677224.

The spelling of 42192192 in words is "forty-two million, one hundred ninety-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 31393 62786 94179 125572 188358 219751 251144 376716 439502 502288 659253 753432 879004 1004576 1318506 1506864 1758008 2009152 2637012 3013728 3516016 5274024 6027456 7032032 10548048 14064064 21096096 42192192