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3895029540 = 2232521639053
BaseRepresentation
bin1110100000101001…
…0110111100100100
3101001110012000001100
43220022112330210
530434111421130
61442300000100
7165344130153
oct35012267444
911043160040
103895029540
111719708386
12908530030
134a0c5a70c
1428d42b59a
1517be3cc60
hexe8296f24

3895029540 has 36 divisors (see below), whose sum is σ = 11814923484. Its totient is φ = 1038674496.

The previous prime is 3895029533. The next prime is 3895029557. The reversal of 3895029540 is 459205983.

3895029540 is a `hidden beast` number, since 3 + 89 + 5 + 0 + 29 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1242985536 + 2652044004 = 35256^2 + 51498^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×38950295402 = 30342510234945223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10819347 + ... + 10819706.

It is an arithmetic number, because the mean of its divisors is an integer number (328192319).

Almost surely, 23895029540 is an apocalyptic number.

3895029540 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3895029540 is an abundant number, since it is smaller than the sum of its proper divisors (7919893944).

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

3895029540 is a wasteful number, since it uses less digits than its factorization.

3895029540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21639068 (or 21639063 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 3895029540 is about 62410.1717671086. The cubic root of 3895029540 is about 1573.3919309107.

The spelling of 3895029540 in words is "three billion, eight hundred ninety-five million, twenty-nine thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 21639053 43278106 64917159 86556212 108195265 129834318 194751477 216390530 259668636 324585795 389502954 432781060 649171590 779005908 973757385 1298343180 1947514770 3895029540