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2925764664 = 233477335531
BaseRepresentation
bin1010111001100011…
…1010000000111000
321112220100020121020
42232120322000320
521442443432124
61202153142440
7132334406064
oct25630720070
97486306536
102925764664
111271577329
126979baa20
133781c1cc4
141da800aa4
15121ccd379
hexae63a038

2925764664 has 64 divisors (see below), whose sum is σ = 7572579840. Its totient is φ = 941402880.

The previous prime is 2925764623. The next prime is 2925764669. The reversal of 2925764664 is 4664675292.

It is a super-2 number, since 2×29257646642 = 17120197738222065792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2925764669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64579 + ... + 100109.

It is an arithmetic number, because the mean of its divisors is an integer number (118321560).

Almost surely, 22925764664 is an apocalyptic number.

2925764664 is a gapful number since it is divisible by the number (24) 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 2925764664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786289920).

2925764664 is an abundant number, since it is smaller than the sum of its proper divisors (4646815176).

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

2925764664 is a wasteful number, since it uses less digits than its factorization.

2925764664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35660 (or 35656 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The square root of 2925764664 is about 54090.3379911792. The cubic root of 2925764664 is about 1430.2538653078.

The spelling of 2925764664 in words is "two billion, nine hundred twenty-five million, seven hundred sixty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 47 73 94 141 146 188 219 282 292 376 438 564 584 876 1128 1752 3431 6862 10293 13724 20586 27448 35531 41172 71062 82344 106593 142124 213186 284248 426372 852744 1669957 2593763 3339914 5009871 5187526 6679828 7781289 10019742 10375052 13359656 15562578 20039484 20750104 31125156 40078968 62250312 121906861 243813722 365720583 487627444 731441166 975254888 1462882332 2925764664