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5441632 = 257171429
BaseRepresentation
bin10100110000100001100000
3101020110111221
4110300201200
52343113012
6312344424
764152550
oct24604140
911213457
105441632
113087419
1219a5114
131186b01
14a19160
15727507
hex530860

5441632 has 48 divisors (see below), whose sum is σ = 12972960. Its totient is φ = 2193408.

The previous prime is 5441621. The next prime is 5441633. The reversal of 5441632 is 2361445.

It is a super-2 number, since 2×54416322 = 59222717646848, which contains 22 as substring.

5441632 is a modest number, since divided by 1632 gives 544 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 5441597 and 5441606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5441633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3094 + ... + 4522.

It is an arithmetic number, because the mean of its divisors is an integer number (270270).

Almost surely, 25441632 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 5441632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486480).

5441632 is an abundant number, since it is smaller than the sum of its proper divisors (7531328).

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

5441632 is a wasteful number, since it uses less digits than its factorization.

5441632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1455 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 5441632 is about 2332.7305888165. The cubic root of 5441632 is about 175.8907724466.

The spelling of 5441632 in words is "five million, four hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1429 1904 2858 3808 5716 10003 11432 20006 22864 24293 40012 45728 48586 80024 97172 160048 170051 194344 320096 340102 388688 680204 777376 1360408 2720816 5441632