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3888406116 = 2232726995717
BaseRepresentation
bin1110011111000100…
…0101111001100100
3101000222201111102100
43213301011321210
530430412443431
61441502012100
7165233622660
oct34761057144
911028644370
103888406116
1117159a4081
12906277030
1349c77ba2a
1428c5c58a0
1517b5804e6
hexe7c45e64

3888406116 has 72 divisors (see below), whose sum is σ = 11239300800. Its totient is φ = 1110367296.

The previous prime is 3888406111. The next prime is 3888406127. The reversal of 3888406116 is 6116048883.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (3888406111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 677290 + ... + 683006.

It is an arithmetic number, because the mean of its divisors is an integer number (156101400).

Almost surely, 23888406116 is an apocalyptic number.

3888406116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3888406116 is an abundant number, since it is smaller than the sum of its proper divisors (7350894684).

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

3888406116 is a wasteful number, since it uses less digits than its factorization.

3888406116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8433 (or 8428 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 3888406116 is about 62357.0855316379. The cubic root of 3888406116 is about 1572.4995838482.

The spelling of 3888406116 in words is "three billion, eight hundred eighty-eight million, four hundred six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 2699 5398 5717 8097 10796 11434 16194 17151 18893 22868 24291 32388 34302 37786 40019 48582 51453 56679 68604 75572 80038 97164 102906 113358 120057 160076 170037 205812 226716 240114 340074 360171 480228 680148 720342 1440684 15430183 30860366 46290549 61720732 92581098 108011281 138871647 185162196 216022562 277743294 324033843 432045124 555486588 648067686 972101529 1296135372 1944203058 3888406116