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42709392 = 24321159457
BaseRepresentation
bin1010001011101…
…1000110010000
32222100212021100
42202323012100
541413200032
64123224400
71026011115
oct242730620
988325240
1042709392
1122121220
1212378100
138b04b3b
14595a90c
153b3997c
hex28bb190

42709392 has 120 divisors (see below), whose sum is σ = 132893280. Its totient is φ = 12695040.

The previous prime is 42709379. The next prime is 42709421. The reversal of 42709392 is 29390724.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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, 93228 + ... + 93684.

It is an arithmetic number, because the mean of its divisors is an integer number (1107444).

Almost surely, 242709392 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 42709392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66446640).

42709392 is an abundant number, since it is smaller than the sum of its proper divisors (90183888).

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

42709392 is a wasteful number, since it uses less digits than its factorization.

42709392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 42709392 is about 6535.2423061429. The cubic root of 42709392 is about 349.5487845352.

The spelling of 42709392 in words is "forty-two million, seven hundred nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 59 66 72 88 99 118 132 144 176 177 198 236 264 354 396 457 472 528 531 649 708 792 914 944 1062 1298 1371 1416 1584 1828 1947 2124 2596 2742 2832 3656 3894 4113 4248 5027 5192 5484 5841 7312 7788 8226 8496 10054 10384 10968 11682 15081 15576 16452 20108 21936 23364 26963 30162 31152 32904 40216 45243 46728 53926 60324 65808 80432 80889 90486 93456 107852 120648 161778 180972 215704 241296 242667 296593 323556 361944 431408 485334 593186 647112 723888 889779 970668 1186372 1294224 1779558 1941336 2372744 2669337 3559116 3882672 4745488 5338674 7118232 10677348 14236464 21354696 42709392