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42747504 = 24343139149
BaseRepresentation
bin1010001100010…
…0011001110000
32222102210112220
42203010121300
541420410004
64124121040
71026230202
oct243043160
988383486
1042747504
1122147918
1212396180
138b192a7
14596a772
153b45dd9
hex28c4670

42747504 has 80 divisors (see below), whose sum is σ = 114576000. Its totient is φ = 13724928.

The previous prime is 42747499. The next prime is 42747517. The reversal of 42747504 is 40574724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 286822 + ... + 286970.

It is an arithmetic number, because the mean of its divisors is an integer number (1432200).

Almost surely, 242747504 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 42747504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57288000).

42747504 is an abundant number, since it is smaller than the sum of its proper divisors (71828496).

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

42747504 is a wasteful number, since it uses less digits than its factorization.

42747504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 42747504 is about 6538.1575386343. The cubic root of 42747504 is about 349.6527276569.

The spelling of 42747504 in words is "forty-two million, seven hundred forty-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 139 149 172 258 278 298 344 417 447 516 556 596 688 834 894 1032 1112 1192 1668 1788 2064 2224 2384 3336 3576 5977 6407 6672 7152 11954 12814 17931 19221 20711 23908 25628 35862 38442 41422 47816 51256 62133 71724 76884 82844 95632 102512 124266 143448 153768 165688 248532 286896 307536 331376 497064 890573 994128 1781146 2671719 3562292 5343438 7124584 10686876 14249168 21373752 42747504