Search a number
-
+
42656796 = 223271329449
BaseRepresentation
bin1010001010111…
…0010000011100
32222021012010100
42202232100130
541410004141
64122141100
71025401560
oct242562034
988235110
1042656796
1122095756
1212351790
138ab6c10
1459456a0
153b290b6
hex28ae41c

42656796 has 144 divisors (see below), whose sum is σ = 137592000. Its totient is φ = 10838016.

The previous prime is 42656773. The next prime is 42656827. The reversal of 42656796 is 69765624.

It is a super-3 number, since 3×426567963 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 94780 + ... + 95228.

It is an arithmetic number, because the mean of its divisors is an integer number (955500).

Almost surely, 242656796 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 42656796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68796000).

42656796 is an abundant number, since it is smaller than the sum of its proper divisors (94935204).

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

42656796 is a wasteful number, since it uses less digits than its factorization.

42656796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 503 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 42656796 is about 6531.2170381943. The cubic root of 42656796 is about 349.4052374989.

The spelling of 42656796 in words is "forty-two million, six hundred fifty-six thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 29 36 39 42 52 58 63 78 84 87 91 116 117 126 156 174 182 203 234 252 261 273 348 364 377 406 449 468 522 546 609 754 812 819 898 1044 1092 1131 1218 1347 1508 1638 1796 1827 2262 2436 2639 2694 3143 3276 3393 3654 4041 4524 5278 5388 5837 6286 6786 7308 7917 8082 9429 10556 11674 12572 13021 13572 15834 16164 17511 18858 23348 23751 26042 28287 31668 35022 37716 39063 40859 47502 52084 52533 56574 70044 78126 81718 91147 95004 105066 113148 117189 122577 156252 163436 169273 182294 210132 234378 245154 273441 338546 364588 367731 468756 490308 507819 546882 677092 735462 820323 1015638 1093764 1184911 1470924 1523457 1640646 2031276 2369822 3046914 3281292 3554733 4739644 6093828 7109466 10664199 14218932 21328398 42656796