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42392040 = 23351918593
BaseRepresentation
bin1010000110110…
…1100111101000
32221202201221120
42201231213220
541323021130
64112335240
71023216645
oct241554750
987681846
1042392040
1121a24849
1212244520
138a23562
1458b6dcc
153ac5910
hex286d9e8

42392040 has 64 divisors (see below), whose sum is σ = 133876800. Its totient is φ = 10708992.

The previous prime is 42392027. The next prime is 42392069. The reversal of 42392040 is 4029324.

It is a happy number.

42392040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42392040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7017 + ... + 11576.

It is an arithmetic number, because the mean of its divisors is an integer number (2091825).

Almost surely, 242392040 is an apocalyptic number.

42392040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42392040 is an abundant number, since it is smaller than the sum of its proper divisors (91484760).

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

42392040 is a wasteful number, since it uses less digits than its factorization.

42392040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18626 (or 18622 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 42392040 is about 6510.9169861088. The cubic root of 42392040 is about 348.6808575561.

The spelling of 42392040 in words is "forty-two million, three hundred ninety-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 18593 37186 55779 74372 92965 111558 148744 185930 223116 278895 353267 371860 446232 557790 706534 743720 1059801 1115580 1413068 1766335 2119602 2231160 2826136 3532670 4239204 5299005 7065340 8478408 10598010 14130680 21196020 42392040