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61929028 = 22717281463
BaseRepresentation
bin1110110000111…
…1011001000100
311022112022122201
43230033121010
5111323212103
610051204244
71351250050
oct354173104
9138468581
1061929028
1131a59217
12188a6684
13caa3cc5
148320c60
15568451d
hex3b0f644

61929028 has 48 divisors (see below), whose sum is σ = 131894784. Its totient is φ = 24837120.

The previous prime is 61929013. The next prime is 61929029. The reversal of 61929028 is 82092916.

61929028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61929029) 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, 133525 + ... + 133987.

It is an arithmetic number, because the mean of its divisors is an integer number (2747808).

Almost surely, 261929028 is an apocalyptic number.

61929028 is a gapful number since it is divisible by the number (68) 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 61929028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65947392).

61929028 is an abundant number, since it is smaller than the sum of its proper divisors (69965756).

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

61929028 is a wasteful number, since it uses less digits than its factorization.

61929028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 37.

The square root of 61929028 is about 7869.4998570430. The cubic root of 61929028 is about 395.6380820786.

The spelling of 61929028 in words is "sixty-one million, nine hundred twenty-nine thousand, twenty-eight".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 281 463 476 562 926 1124 1852 1967 3241 3934 4777 6482 7868 7871 9554 12964 15742 19108 31484 33439 55097 66878 110194 130103 133756 220388 260206 520412 910721 1821442 2211751 3642884 4423502 8847004 15482257 30964514 61929028