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42097692 = 223713192029
BaseRepresentation
bin1010000010010…
…1110000011100
32221012210011210
42200211300130
541234111232
64102144420
71020552540
oct240456034
987183153
1042097692
112184368a
1212122110
13894c5a0
14583ba20
153a685cc
hex2825c1c

42097692 has 96 divisors (see below), whose sum is σ = 127321600. Its totient is φ = 10513152.

The previous prime is 42097691. The next prime is 42097697. The reversal of 42097692 is 29679024.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 42097692.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42097691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19734 + ... + 21762.

Almost surely, 242097692 is an apocalyptic number.

42097692 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42097692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63660800).

42097692 is an abundant number, since it is smaller than the sum of its proper divisors (85223908).

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

42097692 is a wasteful number, since it uses less digits than its factorization.

42097692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 42097692 is about 6488.2734221055. The cubic root of 42097692 is about 347.8719637323.

The spelling of 42097692 in words is "forty-two million, ninety-seven thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 13 14 19 21 26 28 38 39 42 52 57 76 78 84 91 114 133 156 182 228 247 266 273 364 399 494 532 546 741 798 988 1092 1482 1596 1729 2029 2964 3458 4058 5187 6087 6916 8116 10374 12174 14203 20748 24348 26377 28406 38551 42609 52754 56812 77102 79131 85218 105508 115653 154204 158262 170436 184639 231306 269857 316524 369278 462612 501163 539714 553917 738556 809571 1002326 1079428 1107834 1503489 1619142 2004652 2215668 3006978 3238284 3508141 6013956 7016282 10524423 14032564 21048846 42097692