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3980000800 = 25524975001
BaseRepresentation
bin1110110100111001…
…1111111000100000
3101021101001222201001
43231032133320200
531122340011200
61454533121344
7200425306606
oct35516377040
911241058631
103980000800
111762674566
12930a89254
134b573b779
1429a829876
1518462476a
hexed39fe20

3980000800 has 36 divisors (see below), whose sum is σ = 9716178906. Its totient is φ = 1592000000.

The previous prime is 3980000777. The next prime is 3980000833. The reversal of 3980000800 is 80000893.

It can be written as a sum of positive squares in 3 ways, for example, as 2021761296 + 1958239504 = 44964^2 + 44252^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2486701 + ... + 2488300.

Almost surely, 23980000800 is an apocalyptic number.

It is an amenable number.

3980000800 is an abundant number, since it is smaller than the sum of its proper divisors (5736178106).

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

3980000800 is a wasteful number, since it uses less digits than its factorization.

3980000800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4975021 (or 4975008 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 3980000800 is about 63087.2475227759. The cubic root of 3980000800 is about 1584.7510679924.

The spelling of 3980000800 in words is "three billion, nine hundred eighty million, eight hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 4975001 9950002 19900004 24875005 39800008 49750010 79600016 99500020 124375025 159200032 199000040 248750050 398000080 497500100 796000160 995000200 1990000400 3980000800