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3828131860 = 225726164037
BaseRepresentation
bin1110010000101100…
…1010100000010100
3100212210022020200111
43210023022200110
530320000204420
61431510052404
7163602404200
oct34413124024
910783266614
103828131860
111694976143
128aa04a104
13490136ca7
142845b5b00
1517612645a
hexe42ca814

3828131860 has 72 divisors (see below), whose sum is σ = 9505032264. Its totient is φ = 1290965760.

The previous prime is 3828131821. The next prime is 3828131897. The reversal of 3828131860 is 681318283.

It can be written as a sum of positive squares in 4 ways, for example, as 340993156 + 3487138704 = 18466^2 + 59052^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27762 + ... + 91798.

It is an arithmetic number, because the mean of its divisors is an integer number (132014337).

Almost surely, 23828131860 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 3828131860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4752516132).

3828131860 is an abundant number, since it is smaller than the sum of its proper divisors (5676900404).

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

3828131860 is a wasteful number, since it uses less digits than its factorization.

3828131860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64121 (or 64112 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 3828131860 is about 61871.8987909697. The cubic root of 3828131860 is about 1564.3321208456.

The spelling of 3828131860 in words is "three billion, eight hundred twenty-eight million, one hundred thirty-one thousand, eight hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 61 70 98 122 140 196 244 245 305 427 490 610 854 980 1220 1708 2135 2989 4270 5978 8540 11956 14945 29890 59780 64037 128074 256148 320185 448259 640370 896518 1280740 1793036 2241295 3137813 3906257 4482590 6275626 7812514 8965180 12551252 15625028 15689065 19531285 27343799 31378130 39062570 54687598 62756260 78125140 109375196 136718995 191406593 273437990 382813186 546875980 765626372 957032965 1914065930 3828131860