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5632480 = 255747107
BaseRepresentation
bin10101011111000111100000
3101121011022101
4111133013200
52420214410
6320420144
765606140
oct25370740
911534271
105632480
1131a7847
121a77654
131222939
14a68920
15763d3a
hex55f1e0

5632480 has 96 divisors (see below), whose sum is σ = 15676416. Its totient is φ = 1872384.

The previous prime is 5632477. The next prime is 5632519. The reversal of 5632480 is 842365.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52587 + ... + 52693.

It is an arithmetic number, because the mean of its divisors is an integer number (163296).

Almost surely, 25632480 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 5632480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838208).

5632480 is an abundant number, since it is smaller than the sum of its proper divisors (10043936).

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

5632480 is a wasteful number, since it uses less digits than its factorization.

5632480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 5632480 is about 2373.2846436953. The cubic root of 5632480 is about 177.9234616022.

The spelling of 5632480 in words is "five million, six hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 47 56 70 80 94 107 112 140 160 188 214 224 235 280 329 376 428 470 535 560 658 749 752 856 940 1070 1120 1316 1498 1504 1645 1712 1880 2140 2632 2996 3290 3424 3745 3760 4280 5029 5264 5992 6580 7490 7520 8560 10058 10528 11984 13160 14980 17120 20116 23968 25145 26320 29960 35203 40232 50290 52640 59920 70406 80464 100580 119840 140812 160928 176015 201160 281624 352030 402320 563248 704060 804640 1126496 1408120 2816240 5632480