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3999632 = 247134167
BaseRepresentation
bin1111010000011110010000
321112012110112
433100132100
52010442012
6221420452
745665510
oct17203620
97465415
103999632
112291a8a
12140a728
13aa0660
14761840
15540122
hex3d0790

3999632 has 80 divisors (see below), whose sum is σ = 9916032. Its totient is φ = 1520640.

The previous prime is 3999629. The next prime is 3999637. The reversal of 3999632 is 2369993.

It is a happy number.

It is a super-2 number, since 2×39996322 = 31994112270848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a self number, because there is not a number n which added to its sum of digits gives 3999632.

It is not an unprimeable number, because it can be changed into a prime (3999637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59663 + ... + 59729.

Almost surely, 23999632 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 3999632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4958016).

3999632 is an abundant number, since it is smaller than the sum of its proper divisors (5916400).

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

3999632 is a wasteful number, since it uses less digits than its factorization.

3999632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 130 counting only the distinct ones).

The product of its digits is 78732, while the sum is 41.

The square root of 3999632 is about 1999.9079978839. The cubic root of 3999632 is about 158.7352370176.

The spelling of 3999632 in words is "three million, nine hundred ninety-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 41 52 56 67 82 91 104 112 134 164 182 208 268 287 328 364 469 533 536 574 656 728 871 938 1066 1072 1148 1456 1742 1876 2132 2296 2747 3484 3731 3752 4264 4592 5494 6097 6968 7462 7504 8528 10988 12194 13936 14924 19229 21976 24388 29848 35711 38458 43952 48776 59696 71422 76916 97552 142844 153832 249977 285688 307664 499954 571376 999908 1999816 3999632