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61162992 = 24331161211
BaseRepresentation
bin1110100101010…
…0010111110000
311021002101212000
43221110113300
5111124203432
610022534000
71341606522
oct351242760
9137071760
1061162992
1131585730
1218597300
13c896427
1481a1a12
15558257c
hex3a545f0

61162992 has 160 divisors (see below), whose sum is σ = 195582720. Its totient is φ = 18144000.

The previous prime is 61162987. The next prime is 61163009. The reversal of 61162992 is 29926116.

61162992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289767 + ... + 289977.

It is an arithmetic number, because the mean of its divisors is an integer number (1222392).

Almost surely, 261162992 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 61162992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97791360).

61162992 is an abundant number, since it is smaller than the sum of its proper divisors (134419728).

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

61162992 is a wasteful number, since it uses less digits than its factorization.

61162992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 288 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 61162992 is about 7820.6772085287. The cubic root of 61162992 is about 394.0000171781. Note that the first 4 decimals are identical.

The spelling of 61162992 in words is "sixty-one million, one hundred sixty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 61 66 72 88 99 108 122 132 144 176 183 198 211 216 244 264 297 366 396 422 432 488 528 549 594 633 671 732 792 844 976 1098 1188 1266 1342 1464 1584 1647 1688 1899 2013 2196 2321 2376 2532 2684 2928 3294 3376 3798 4026 4392 4642 4752 5064 5368 5697 6039 6588 6963 7596 8052 8784 9284 10128 10736 11394 12078 12871 13176 13926 15192 16104 18117 18568 20889 22788 24156 25742 26352 27852 30384 32208 36234 37136 38613 41778 45576 48312 51484 55704 62667 72468 77226 83556 91152 96624 102968 111408 115839 125334 141581 144936 154452 167112 205936 231678 250668 283162 289872 308904 334224 347517 424743 463356 501336 566324 617808 695034 849486 926712 1002672 1132648 1274229 1390068 1698972 1853424 2265296 2548458 2780136 3397944 3822687 5096916 5560272 6795888 7645374 10193832 15290748 20387664 30581496 61162992