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2923052960 = 25571257311
BaseRepresentation
bin1010111000111010…
…0011111110100000
321112201020110211202
42232032203332200
521441300143320
61202015100332
7132302353202
oct25616437640
97481213752
102923052960
11126aa94a53
12696b116a8
13377782949
141da2d6772
15121944b75
hexae3a3fa0

2923052960 has 48 divisors (see below), whose sum is σ = 7003003392. Its totient is φ = 1152748800.

The previous prime is 2923052939. The next prime is 2923052963. The reversal of 2923052960 is 692503292.

It is not an unprimeable number, because it can be changed into a prime (2923052963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117296 + ... + 140015.

It is an arithmetic number, because the mean of its divisors is an integer number (145895904).

Almost surely, 22923052960 is an apocalyptic number.

2923052960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2923052960 is an abundant number, since it is smaller than the sum of its proper divisors (4079950432).

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

2923052960 is a wasteful number, since it uses less digits than its factorization.

2923052960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257397 (or 257389 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 2923052960 is about 54065.2657442835. The cubic root of 2923052960 is about 1429.8118584694.

The spelling of 2923052960 in words is "two billion, nine hundred twenty-three million, fifty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 142 160 284 355 568 710 1136 1420 2272 2840 5680 11360 257311 514622 1029244 1286555 2058488 2573110 4116976 5146220 8233952 10292440 18269081 20584880 36538162 41169760 73076324 91345405 146152648 182690810 292305296 365381620 584610592 730763240 1461526480 2923052960