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2484612960 = 25356184857
BaseRepresentation
bin1001010000011000…
…0010111101100000
320102011020102020020
42110012002331200
520042030103320
61050313513440
7115366601364
oct22406027540
96364212206
102484612960
111065554545
12594112880
133079a28ab
14197da72a4
15e81db940
hex94182f60

2484612960 has 96 divisors (see below), whose sum is σ = 7954928352. Its totient is φ = 651694080.

The previous prime is 2484612947. The next prime is 2484612983. The reversal of 2484612960 is 692164842.

It is a tau number, because it is divible by the number of its divisors (96).

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, 13149 + ... + 71708.

It is an arithmetic number, because the mean of its divisors is an integer number (82863837).

Almost surely, 22484612960 is an apocalyptic number.

2484612960 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 2484612960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3977464176).

2484612960 is an abundant number, since it is smaller than the sum of its proper divisors (5470315392).

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

2484612960 is a wasteful number, since it uses less digits than its factorization.

2484612960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84936 (or 84928 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 2484612960 is about 49845.8921075749. The cubic root of 2484612960 is about 1354.4186192476.

The spelling of 2484612960 in words is "two billion, four hundred eighty-four million, six hundred twelve thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 80 96 120 122 160 183 240 244 305 366 480 488 610 732 915 976 1220 1464 1830 1952 2440 2928 3660 4880 5856 7320 9760 14640 29280 84857 169714 254571 339428 424285 509142 678856 848570 1018284 1272855 1357712 1697140 2036568 2545710 2715424 3394280 4073136 5091420 5176277 6788560 8146272 10182840 10352554 13577120 15528831 20365680 20705108 25881385 31057662 40731360 41410216 51762770 62115324 77644155 82820432 103525540 124230648 155288310 165640864 207051080 248461296 310576620 414102160 496922592 621153240 828204320 1242306480 2484612960