Search a number
-
+
42408036 = 22341173163
BaseRepresentation
bin1010000111000…
…1100001100100
32221210112220000
42201301201210
541324024121
64112541300
71023314406
oct241614144
987715800
1042408036
1121a35870
1212251830
138a2a918
1458bcb76
153aca526
hex2871864

42408036 has 120 divisors (see below), whose sum is σ = 123350304. Its totient is φ = 12597120.

The previous prime is 42408029. The next prime is 42408049. The reversal of 42408036 is 63080424.

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 Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 260091 + ... + 260253.

Almost surely, 242408036 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 42408036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61675152).

42408036 is an abundant number, since it is smaller than the sum of its proper divisors (80942268).

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

42408036 is a wasteful number, since it uses less digits than its factorization.

42408036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42408036 is about 6512.1452686500. The cubic root of 42408036 is about 348.7247085370.

The spelling of 42408036 in words is "forty-two million, four hundred eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 73 81 99 108 132 146 162 163 198 219 292 297 324 326 396 438 489 594 652 657 803 876 891 978 1188 1314 1467 1606 1782 1793 1956 1971 2409 2628 2934 3212 3564 3586 3942 4401 4818 5379 5868 5913 7172 7227 7884 8802 9636 10758 11826 11899 13203 14454 16137 17604 21516 21681 23652 23798 26406 28908 32274 35697 43362 47596 48411 52812 64548 65043 71394 86724 96822 107091 130086 130889 142788 145233 193644 214182 260172 261778 290466 321273 392667 428364 523556 580932 642546 785334 963819 1178001 1285092 1570668 1927638 2356002 3534003 3855276 4712004 7068006 10602009 14136012 21204018 42408036