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42192960 = 263543951
BaseRepresentation
bin1010000011110…
…1000001000000
32221101121212020
42200331001000
541300133320
64104201440
71021430355
oct240750100
987347766
1042192960
11218a9217
1212169280
138983a64
14586462c
153a86940
hex283d040

42192960 has 56 divisors (see below), whose sum is σ = 133965696. Its totient is φ = 11251200.

The previous prime is 42192959. The next prime is 42193001. The reversal of 42192960 is 6929124.

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, 21016 + ... + 22935.

Almost surely, 242192960 is an apocalyptic number.

42192960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42192960 is an abundant number, since it is smaller than the sum of its proper divisors (91772736).

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

42192960 is a wasteful number, since it uses less digits than its factorization.

42192960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43971 (or 43961 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 42192960 is about 6495.6108257807. The cubic root of 42192960 is about 348.1341799916.

The spelling of 42192960 in words is "forty-two million, one hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 43951 87902 131853 175804 219755 263706 351608 439510 527412 659265 703216 879020 1054824 1318530 1406432 1758040 2109648 2637060 2812864 3516080 4219296 5274120 7032160 8438592 10548240 14064320 21096480 42192960