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7990544 = 2417291013
BaseRepresentation
bin11110011110110100010000
3120000221222002
4132132310100
54021144134
6443133132
7124630022
oct36366420
916027862
107990544
114568461
1228141a8
13186a043
1410c0012
15a7c87e
hex79ed10

7990544 has 40 divisors (see below), whose sum is σ = 16974360. Its totient is φ = 3627008.

The previous prime is 7990519. The next prime is 7990559. The reversal of 7990544 is 4450997.

It can be written as a sum of positive squares in 4 ways, for example, as 262144 + 7728400 = 512^2 + 2780^2 .

It is a junction number, because it is equal to n+sod(n) for n = 7990498 and 7990507.

It is a congruent number.

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, 7382 + ... + 8394.

It is an arithmetic number, because the mean of its divisors is an integer number (424359).

Almost surely, 27990544 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 7990544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8487180).

7990544 is an abundant number, since it is smaller than the sum of its proper divisors (8983816).

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

7990544 is a wasteful number, since it uses less digits than its factorization.

7990544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1067 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 7990544 is about 2826.7550300654. The cubic root of 7990544 is about 199.9211689324.

The spelling of 7990544 in words is "seven million, nine hundred ninety thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1013 1972 2026 3944 4052 7888 8104 16208 17221 29377 34442 58754 68884 117508 137768 235016 275536 470032 499409 998818 1997636 3995272 7990544