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2952907380 = 2233516273361
BaseRepresentation
bin1011000000000001…
…1100101001110100
321121210102020102000
42300000130221310
522021421014010
61205003015300
7133114204263
oct26000345164
97553366360
102952907380
111285926025
126a4b0a530
13380a06597
142002685da
151243907c0
hexb001ca74

2952907380 has 96 divisors (see below), whose sum is σ = 9195204480. Its totient is φ = 786723840.

The previous prime is 2952907301. The next prime is 2952907381. The reversal of 2952907380 is 837092592.

2952907380 is a `hidden beast` number, since 295 + 290 + 73 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2952907381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 876900 + ... + 880260.

It is an arithmetic number, because the mean of its divisors is an integer number (95783380).

Almost surely, 22952907380 is an apocalyptic number.

2952907380 is a gapful number since it is divisible by the number (20) 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 2952907380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4597602240).

2952907380 is an abundant number, since it is smaller than the sum of its proper divisors (6242297100).

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

2952907380 is a wasteful number, since it uses less digits than its factorization.

2952907380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2952907380 is about 54340.6604670941. The cubic root of 2952907380 is about 1434.6631445557.

The spelling of 2952907380 in words is "two billion, nine hundred fifty-two million, nine hundred seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1627 3254 3361 4881 6508 6722 8135 9762 10083 13444 14643 16270 16805 19524 20166 24405 29286 30249 32540 33610 40332 43929 48810 50415 58572 60498 67220 73215 87858 90747 97620 100830 120996 146430 151245 175716 181494 201660 219645 292860 302490 362988 439290 453735 604980 878580 907470 1814940 5468347 10936694 16405041 21873388 27341735 32810082 49215123 54683470 65620164 82025205 98430246 109366940 147645369 164050410 196860492 246075615 295290738 328100820 492151230 590581476 738226845 984302460 1476453690 2952907380