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3862278980 = 2257211334877
BaseRepresentation
bin1110011000110101…
…1011001101000100
3100222011120002201122
43212031123031010
530402220411410
61435130013112
7164465554400
oct34615331504
910864502648
103862278980
1117021793aa
128b9577198
134972317a1
14288d44100
1517911de55
hexe635b344

3862278980 has 72 divisors (see below), whose sum is σ = 9518764248. Its totient is φ = 1312453632.

The previous prime is 3862278967. The next prime is 3862278983. The reversal of 3862278980 is 898722683.

3862278980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 74615044 + 3787663936 = 8638^2 + 61544^2 .

It is not an unprimeable number, because it can be changed into a prime (3862278983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93302 + ... + 128178.

It is an arithmetic number, because the mean of its divisors is an integer number (132205059).

Almost surely, 23862278980 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 3862278980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4759382124).

3862278980 is an abundant number, since it is smaller than the sum of its proper divisors (5656485268).

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

3862278980 is a wasteful number, since it uses less digits than its factorization.

3862278980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35013 (or 35004 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 53.

The square root of 3862278980 is about 62147.2363021880. The cubic root of 3862278980 is about 1568.9696648955.

The spelling of 3862278980 in words is "three billion, eight hundred sixty-two million, two hundred seventy-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 113 140 196 226 245 452 490 565 791 980 1130 1582 2260 3164 3955 5537 7910 11074 15820 22148 27685 34877 55370 69754 110740 139508 174385 244139 348770 488278 697540 976556 1220695 1708973 2441390 3417946 3941101 4882780 6835892 7882202 8544865 15764404 17089730 19705505 27587707 34179460 39411010 55175414 78822020 110350828 137938535 193113949 275877070 386227898 551754140 772455796 965569745 1931139490 3862278980