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42023538 = 23231127593
BaseRepresentation
bin1010000001001…
…1101001110010
32221002000110100
42200103221302
541224223123
64100413230
71020123414
oct240235162
987060410
1042023538
11217a29a7
12120a7216
1389248cb
14581c9b4
153a51643
hex2813a72

42023538 has 48 divisors (see below), whose sum is σ = 94887936. Its totient is φ = 13426560.

The previous prime is 42023537. The next prime is 42023567. The reversal of 42023538 is 83532024.

42023538 is a `hidden beast` number, since 420 + 235 + 3 + 8 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (42023537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70570 + ... + 71162.

It is an arithmetic number, because the mean of its divisors is an integer number (1976832).

Almost surely, 242023538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42023538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47443968).

42023538 is an abundant number, since it is smaller than the sum of its proper divisors (52864398).

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

42023538 is a wasteful number, since it uses less digits than its factorization.

42023538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42023538 is about 6482.5564401708. The cubic root of 42023538 is about 347.6675878501.

The spelling of 42023538 in words is "forty-two million, twenty-three thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 31 62 93 127 186 254 279 381 558 593 762 1143 1186 1779 2286 3558 3937 5337 7874 10674 11811 18383 23622 35433 36766 55149 70866 75311 110298 150622 165447 225933 330894 451866 677799 1355598 2334641 4669282 7003923 14007846 21011769 42023538