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4014992 = 241729509
BaseRepresentation
bin1111010100001110010000
321112222112102
433110032100
52011434432
6222015532
746061342
oct17241620
97488472
104014992
1122a2583
1214175a8
13aa7647
14767292
15544962
hex3d4390

4014992 has 40 divisors (see below), whose sum is σ = 8537400. Its totient is φ = 1820672.

The previous prime is 4014977. The next prime is 4015013. The reversal of 4014992 is 2994104.

It can be written as a sum of positive squares in 4 ways, for example, as 1752976 + 2262016 = 1324^2 + 1504^2 .

It is a super-2 number, since 2×40149922 = 32240321520128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7634 + ... + 8142.

It is an arithmetic number, because the mean of its divisors is an integer number (213435).

Almost surely, 24014992 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 4014992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4268700).

4014992 is an abundant number, since it is smaller than the sum of its proper divisors (4522408).

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

4014992 is a wasteful number, since it uses less digits than its factorization.

4014992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 4014992 is about 2003.7444946899. The cubic root of 4014992 is about 158.9381772493.

The spelling of 4014992 in words is "four million, fourteen thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 509 986 1018 1972 2036 3944 4072 7888 8144 8653 14761 17306 29522 34612 59044 69224 118088 138448 236176 250937 501874 1003748 2007496 4014992