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42912792 = 233213192127
BaseRepresentation
bin1010001110110…
…0110000011000
32222202012021200
42203230300120
541441202132
64131434200
71030516116
oct243546030
988665250
1042912792
112225001a
1212455960
138b765b0
1459b0ab6
153b79d7c
hex28ecc18

42912792 has 144 divisors (see below), whose sum is σ = 133136640. Its totient is φ = 12410496.

The previous prime is 42912791. The next prime is 42912809. The reversal of 42912792 is 29721924.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42912791) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 337833 + ... + 337959.

It is an arithmetic number, because the mean of its divisors is an integer number (924560).

Almost surely, 242912792 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 42912792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66568320).

42912792 is an abundant number, since it is smaller than the sum of its proper divisors (90223848).

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

42912792 is a wasteful number, since it uses less digits than its factorization.

42912792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 164 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 42912792 is about 6550.7856017427. The cubic root of 42912792 is about 350.1028051743.

The spelling of 42912792 in words is "forty-two million, nine hundred twelve thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 127 152 156 171 228 234 247 254 312 342 361 381 456 468 494 508 684 722 741 762 936 988 1016 1083 1143 1368 1444 1482 1524 1651 1976 2166 2223 2286 2413 2888 2964 3048 3249 3302 4332 4446 4572 4693 4826 4953 5928 6498 6604 7239 8664 8892 9144 9386 9652 9906 12996 13208 14079 14478 14859 17784 18772 19304 19812 21717 25992 28158 28956 29718 31369 37544 39624 42237 43434 45847 56316 57912 59436 62738 84474 86868 91694 94107 112632 118872 125476 137541 168948 173736 183388 188214 250952 275082 282321 337896 366776 376428 412623 550164 564642 596011 752856 825246 1100328 1129284 1192022 1650492 1788033 2258568 2384044 3300984 3576066 4768088 5364099 7152132 10728198 14304264 21456396 42912792