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3058008480 = 253252123617
BaseRepresentation
bin1011011001000101…
…1000000110100000
321220010011221000100
42312101120012200
522230322232410
61223235422400
7135531433422
oct26621300640
97803157010
103058008480
11132a19103a
12714154a00
13399714b97
142101c6812
1512d7018c0
hexb64581a0

3058008480 has 72 divisors (see below), whose sum is σ = 10435458852. Its totient is φ = 815468544.

The previous prime is 3058008463. The next prime is 3058008491. The reversal of 3058008480 is 848008503.

3058008480 is a `hidden beast` number, since 30 + 580 + 0 + 8 + 48 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2904347664 + 153660816 = 53892^2 + 12396^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1060369 + ... + 1063248.

Almost surely, 23058008480 is an apocalyptic number.

3058008480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3058008480 is an abundant number, since it is smaller than the sum of its proper divisors (7377450372).

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

3058008480 is a wasteful number, since it uses less digits than its factorization.

3058008480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2123638 (or 2123627 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 3058008480 is about 55299.2629245635. The cubic root of 3058008480 is about 1451.4861465193.

The spelling of 3058008480 in words is "three billion, fifty-eight million, eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 2123617 4247234 6370851 8494468 10618085 12741702 16988936 19112553 21236170 25483404 31854255 33977872 38225106 42472340 50966808 63708510 67955744 76450212 84944680 95562765 101933616 127417020 152900424 169889360 191125530 203867232 254834040 305800848 339778720 382251060 509668080 611601696 764502120 1019336160 1529004240 3058008480