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42615216 = 2432767631
BaseRepresentation
bin1010001010010…
…0000110110000
32222012002002100
42202210012300
541402141331
64121220400
71025136420
oct242440660
988162070
1042615216
1122067496
1212331700
138aa1007
145934480
153b1bae6
hex28a41b0

42615216 has 120 divisors (see below), whose sum is σ = 138554624. Its totient is φ = 11975040.

The previous prime is 42615203. The next prime is 42615241. The reversal of 42615216 is 61251624.

42615216 is a `hidden beast` number, since 42 + 615 + 2 + 1 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42615216.

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, 67221 + ... + 67851.

Almost surely, 242615216 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 42615216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69277312).

42615216 is an abundant number, since it is smaller than the sum of its proper divisors (95939408).

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

42615216 is a wasteful number, since it uses less digits than its factorization.

42615216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 710 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 42615216 is about 6528.0330881514. The cubic root of 42615216 is about 349.2916722197.

The spelling of 42615216 in words is "forty-two million, six hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 67 72 84 112 126 134 144 168 201 252 268 336 402 469 504 536 603 631 804 938 1008 1072 1206 1262 1407 1608 1876 1893 2412 2524 2814 3216 3752 3786 4221 4417 4824 5048 5628 5679 7504 7572 8442 8834 9648 10096 11256 11358 13251 15144 16884 17668 22512 22716 26502 30288 33768 35336 39753 42277 45432 53004 67536 70672 79506 84554 90864 106008 126831 159012 169108 212016 253662 295939 318024 338216 380493 507324 591878 636048 676432 760986 887817 1014648 1183756 1521972 1775634 2029296 2367512 2663451 3043944 3551268 4735024 5326902 6087888 7102536 10653804 14205072 21307608 42615216