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629148090 = 23567313009
BaseRepresentation
bin100101100000000…
…000100110111010
31121211212000221010
4211200000212322
52242030214330
6142232454350
721406445664
oct4540004672
91554760833
10629148090
112a31572aa
1215684a3b6
13a0462b9c
145d7b3534
153a3793b0
hex258009ba

629148090 has 32 divisors (see below), whose sum is σ = 1532496960. Its totient is φ = 165268224.

The previous prime is 629148077. The next prime is 629148101. The reversal of 629148090 is 90841926.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon 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 15 ways as a sum of consecutive naturals, for example, 154495 + ... + 158514.

It is an arithmetic number, because the mean of its divisors is an integer number (47890530).

Almost surely, 2629148090 is an apocalyptic number.

629148090 is an abundant number, since it is smaller than the sum of its proper divisors (903348870).

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

629148090 is a wasteful number, since it uses less digits than its factorization.

629148090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313086.

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 629148090 is about 25082.8246017070. The cubic root of 629148090 is about 856.8753065345.

The spelling of 629148090 in words is "six hundred twenty-nine million, one hundred forty-eight thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 67 134 201 335 402 670 1005 2010 313009 626018 939027 1565045 1878054 3130090 4695135 9390270 20971603 41943206 62914809 104858015 125829618 209716030 314574045 629148090