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42957816 = 233112931181
BaseRepresentation
bin1010001111011…
…1101111111000
32222211111001020
42203313233320
541444122231
64132422440
71031064306
oct243675770
988744036
1042957816
1122280930
1212477a20
138b90c35
1459c3276
153b88396
hex28f7bf8

42957816 has 128 divisors (see below), whose sum is σ = 125798400. Its totient is φ = 12096000.

The previous prime is 42957809. The next prime is 42957821. The reversal of 42957816 is 61875924.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237246 + ... + 237426.

It is an arithmetic number, because the mean of its divisors is an integer number (982800).

Almost surely, 242957816 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 42957816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62899200).

42957816 is an abundant number, since it is smaller than the sum of its proper divisors (82840584).

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

42957816 is a wasteful number, since it uses less digits than its factorization.

42957816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 257 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 42957816 is about 6554.2212352041. The cubic root of 42957816 is about 350.2252047226.

The spelling of 42957816 in words is "forty-two million, nine hundred fifty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 31 33 44 58 62 66 87 88 93 116 124 132 174 181 186 232 248 264 319 341 348 362 372 543 638 682 696 724 744 899 957 1023 1086 1276 1364 1448 1798 1914 1991 2046 2172 2552 2697 2728 3596 3828 3982 4092 4344 5249 5394 5611 5973 7192 7656 7964 8184 9889 10498 10788 11222 11946 15747 15928 16833 19778 20996 21576 22444 23892 29667 31494 33666 39556 41992 44888 47784 57739 59334 61721 62988 67332 79112 115478 118668 123442 125976 134664 162719 173217 185163 230956 237336 246884 325438 346434 370326 461912 488157 493768 650876 692868 740652 976314 1301752 1385736 1481304 1789909 1952628 3579818 3905256 5369727 7159636 10739454 14319272 21478908 42957816