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5427632 = 24732343
BaseRepresentation
bin10100101101000110110000
3101012202022102
4110231012300
52342141012
6312155532
764064000
oct24550660
911182272
105427632
113077951
121998ba8
131180622
14a14000
157232c2
hex52d1b0

5427632 has 80 divisors (see below), whose sum is σ = 13094400. Its totient is φ = 2173248.

The previous prime is 5427629. The next prime is 5427637. The reversal of 5427632 is 2367245.

It is a junction number, because it is equal to n+sod(n) for n = 5427595 and 5427604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5427637) 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, 126203 + ... + 126245.

It is an arithmetic number, because the mean of its divisors is an integer number (163680).

Almost surely, 25427632 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 5427632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547200).

5427632 is an abundant number, since it is smaller than the sum of its proper divisors (7666768).

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

5427632 is a wasteful number, since it uses less digits than its factorization.

5427632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 75 counting only the distinct ones).

The product of its digits is 10080, while the sum is 29.

The square root of 5427632 is about 2329.7278811054. The cubic root of 5427632 is about 175.7398014623.

It can be divided in two parts, 54 and 27632, that multiplied together give a triangular number (1492128 = T1727).

The spelling of 5427632 in words is "five million, four hundred twenty-seven thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 43 46 49 56 86 92 98 112 161 172 184 196 301 322 343 344 368 392 602 644 686 688 784 989 1127 1204 1288 1372 1978 2107 2254 2408 2576 2744 3956 4214 4508 4816 5488 6923 7889 7912 8428 9016 13846 14749 15778 15824 16856 18032 27692 29498 31556 33712 48461 55384 58996 63112 96922 110768 117992 126224 193844 235984 339227 387688 678454 775376 1356908 2713816 5427632