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4013589632 = 27132412013
BaseRepresentation
bin1110111100111010…
…1000010010000000
3101100201021110220212
43233032220102000
531204434332012
61502133053252
7201313643333
oct35716502200
911321243825
104013589632
11177a626328
12940187228
134bc69c110
142a109061a
1518755bb22
hexef3a8480

4013589632 has 32 divisors (see below), whose sum is σ = 8610889980. Its totient is φ = 1852425216.

The previous prime is 4013589563. The next prime is 4013589683. The reversal of 4013589632 is 2369853104.

It can be written as a sum of positive squares in 2 ways, for example, as 3960940096 + 52649536 = 62936^2 + 7256^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×40135896322 = 32217803468195790848, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4013589632.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1204343 + ... + 1207670.

Almost surely, 24013589632 is an apocalyptic number.

It is an amenable number.

4013589632 is an abundant number, since it is smaller than the sum of its proper divisors (4597300348).

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

4013589632 is a wasteful number, since it uses less digits than its factorization.

4013589632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2412040 (or 2412028 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 4013589632 is about 63352.8975817208. The cubic root of 4013589632 is about 1589.1967029922.

The spelling of 4013589632 in words is "four billion, thirteen million, five hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 2412013 4824026 9648052 19296104 31356169 38592208 62712338 77184416 125424676 154368832 250849352 308737664 501698704 1003397408 2006794816 4013589632