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42000696 = 23326173131
BaseRepresentation
bin1010000000111…
…0000100111000
32221000212010100
42200032010320
541223010241
64100115400
71020000003
oct240160470
987025110
1042000696
1121787821
1212095b60
1389173aa
14581453a
153a499b6
hex280e138

42000696 has 96 divisors (see below), whose sum is σ = 118095120. Its totient is φ = 13478400.

The previous prime is 42000683. The next prime is 42000701. The reversal of 42000696 is 69600024.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320551 + ... + 320681.

Almost surely, 242000696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42000696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59047560).

42000696 is an abundant number, since it is smaller than the sum of its proper divisors (76094424).

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

42000696 is a wasteful number, since it uses less digits than its factorization.

42000696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 42000696 is about 6480.7943957512. The cubic root of 42000696 is about 347.6045845689.

The spelling of 42000696 in words is "forty-two million, six hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 73 122 131 146 183 219 244 262 292 366 393 438 488 524 549 584 657 732 786 876 1048 1098 1179 1314 1464 1572 1752 2196 2358 2628 3144 4392 4453 4716 5256 7991 8906 9432 9563 13359 15982 17812 19126 23973 26718 28689 31964 35624 38252 40077 47946 53436 57378 63928 71919 76504 80154 86067 95892 106872 114756 143838 160308 172134 191784 229512 287676 320616 344268 575352 583343 688536 1166686 1750029 2333372 3500058 4666744 5250087 7000116 10500174 14000232 21000348 42000696