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61690992 = 24311313769
BaseRepresentation
bin1110101101010…
…1010001110000
311022002020010120
43223111101300
5111243102432
610042130240
71346236056
oct353252160
9138066116
1061690992
11319063a0
12187b0980
13ca1c85c
14829c1d6
155638c2c
hex3ad5470

61690992 has 80 divisors (see below), whose sum is σ = 179512320. Its totient is φ = 18086400.

The previous prime is 61690927. The next prime is 61690999. The reversal of 61690992 is 29909616.

It is a happy number.

61690992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61690999) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14484 + ... + 18252.

It is an arithmetic number, because the mean of its divisors is an integer number (2243904).

Almost surely, 261690992 is an apocalyptic number.

61690992 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61690992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89756160).

61690992 is an abundant number, since it is smaller than the sum of its proper divisors (117821328).

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

61690992 is a wasteful number, since it uses less digits than its factorization.

61690992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 61690992 is about 7854.3613362259. The cubic root of 61690992 is about 395.1305278178.

The spelling of 61690992 in words is "sixty-one million, six hundred ninety thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 3769 4092 5456 7538 8184 11307 15076 16368 22614 30152 41459 45228 60304 82918 90456 116839 124377 165836 180912 233678 248754 331672 350517 467356 497508 663344 701034 934712 995016 1285229 1402068 1869424 1990032 2570458 2804136 3855687 5140916 5608272 7711374 10281832 15422748 20563664 30845496 61690992