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42978936 = 233711131789
BaseRepresentation
bin1010001111110…
…0111001111000
32222212120000110
42203330321320
542000311221
64133104320
71031213010
oct243747170
988776013
1042978936
1122295790
12124880a0
138b9a730
1459cac40
153b8e776
hex28fce78

42978936 has 128 divisors (see below), whose sum is σ = 144345600. Its totient is φ = 10298880.

The previous prime is 42978917. The next prime is 42978961. The reversal of 42978936 is 63987924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23130 + ... + 24918.

It is an arithmetic number, because the mean of its divisors is an integer number (1127700).

Almost surely, 242978936 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 42978936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72172800).

42978936 is an abundant number, since it is smaller than the sum of its proper divisors (101366664).

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

42978936 is a wasteful number, since it uses less digits than its factorization.

42978936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1829 (or 1825 counting only the distinct ones).

The product of its digits is 653184, while the sum is 48.

The square root of 42978936 is about 6555.8322126180. The cubic root of 42978936 is about 350.2825908217.

The spelling of 42978936 in words is "forty-two million, nine hundred seventy-eight thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 21 22 24 26 28 33 39 42 44 52 56 66 77 78 84 88 91 104 132 143 154 156 168 182 231 264 273 286 308 312 364 429 462 546 572 616 728 858 924 1001 1092 1144 1716 1789 1848 2002 2184 3003 3432 3578 4004 5367 6006 7156 8008 10734 12012 12523 14312 19679 21468 23257 24024 25046 37569 39358 42936 46514 50092 59037 69771 75138 78716 93028 100184 118074 137753 139542 150276 157432 162799 186056 236148 255827 275506 279084 300552 325598 413259 472296 488397 511654 551012 558168 651196 767481 826518 976794 1023308 1102024 1302392 1534962 1653036 1790789 1953588 2046616 3069924 3306072 3581578 3907176 5372367 6139848 7163156 10744734 14326312 21489468 42978936