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2807420928 = 21131335149
BaseRepresentation
bin1010011101010101…
…1101100000000000
321020122122202111220
42213111131200000
521222144432203
61142324435040
7126366453444
oct24725354000
97218582456
102807420928
111210796994
12664248a80
13359827c20
141c8bd6824
15116703653
hexa755d800

2807420928 has 96 divisors (see below), whose sum is σ = 8060598000. Its totient is φ = 863797248.

The previous prime is 2807420923. The next prime is 2807420939. The reversal of 2807420928 is 8290247082.

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

It is a super-2 number, since 2×28074209282 = 15763224533944762368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2807420928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2807420923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62298 + ... + 97446.

Almost surely, 22807420928 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 2807420928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030299000).

2807420928 is an abundant number, since it is smaller than the sum of its proper divisors (5253177072).

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

2807420928 is a wasteful number, since it uses less digits than its factorization.

2807420928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35187 (or 35167 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 2807420928 is about 52985.1010001868. The cubic root of 2807420928 is about 1410.7038264724.

The spelling of 2807420928 in words is "two billion, eight hundred seven million, four hundred twenty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1024 1248 1536 1664 2048 2496 3072 3328 4992 6144 6656 9984 13312 19968 26624 35149 39936 70298 79872 105447 140596 210894 281192 421788 456937 562384 843576 913874 1124768 1370811 1687152 1827748 2249536 2741622 3374304 3655496 4499072 5483244 6748608 7310992 8998144 10966488 13497216 14621984 17996288 21932976 26994432 29243968 35992576 43865952 53988864 58487936 71985152 87731904 107977728 116975872 175463808 215955456 233951744 350927616 467903488 701855232 935806976 1403710464 2807420928