Search a number
-
+
610052664 = 233135873331
BaseRepresentation
bin100100010111001…
…010101000111000
31120111220212221010
4210113022220320
52222133141124
6140311313520
721055235124
oct4427125070
91514825833
10610052664
112933a4661
1215037b8a0
1399508410
145b042584
1538856529
hex245caa38

610052664 has 64 divisors (see below), whose sum is σ = 1645741440. Its totient is φ = 187332480.

The previous prime is 610052657. The next prime is 610052683. The reversal of 610052664 is 466250016.

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 15 ways as a sum of consecutive naturals, for example, 181479 + ... + 184809.

It is an arithmetic number, because the mean of its divisors is an integer number (25714710).

Almost surely, 2610052664 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 610052664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822870720).

610052664 is an abundant number, since it is smaller than the sum of its proper divisors (1035688776).

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

610052664 is a wasteful number, since it uses less digits than its factorization.

610052664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3940 (or 3936 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 610052664 is about 24699.2441989629. The cubic root of 610052664 is about 848.1170146761.

The spelling of 610052664 in words is "six hundred ten million, fifty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 587 1174 1761 2348 3331 3522 4696 6662 7044 7631 9993 13324 14088 15262 19986 22893 26648 30524 39972 43303 45786 61048 79944 86606 91572 129909 173212 183144 259818 346424 519636 1039272 1955297 3910594 5865891 7821188 11731782 15642376 23463564 25418861 46927128 50837722 76256583 101675444 152513166 203350888 305026332 610052664