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2924964216 = 233323956659
BaseRepresentation
bin1010111001010111…
…0110100101111000
321112211211120121000
42232111312211320
521442242323331
61202124045000
7132324533316
oct25625664570
97484746530
102924964216
11127107a9a9
12697693760
13377ca1875
141da6730b6
15121bc10e6
hexae576978

2924964216 has 64 divisors (see below), whose sum is σ = 8159040000. Its totient is φ = 970891488.

The previous prime is 2924964193. The next prime is 2924964241. The reversal of 2924964216 is 6124694292.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23295 + ... + 79953.

It is an arithmetic number, because the mean of its divisors is an integer number (127485000).

Almost surely, 22924964216 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 2924964216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4079520000).

2924964216 is an abundant number, since it is smaller than the sum of its proper divisors (5234075784).

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

2924964216 is a wasteful number, since it uses less digits than its factorization.

2924964216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56913 (or 56903 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 2924964216 is about 54082.9383077510. The cubic root of 2924964216 is about 1430.1234209741.

The spelling of 2924964216 in words is "two billion, nine hundred twenty-four million, nine hundred sixty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 239 478 717 956 1434 1912 2151 2868 4302 5736 6453 8604 12906 17208 25812 51624 56659 113318 169977 226636 339954 453272 509931 679908 1019862 1359816 1529793 2039724 3059586 4079448 6119172 12238344 13541501 27083002 40624503 54166004 81249006 108332008 121873509 162498012 243747018 324996024 365620527 487494036 731241054 974988072 1462482108 2924964216