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488825232 = 24372296353
BaseRepresentation
bin11101001000101…
…110000110010000
31021001210220011020
4131020232012100
52000114401412
6120301115440
715053642310
oct3510560620
91231726136
10488825232
11230a246a5
12117858b80
137a3718cc
1448cc7440
152cdac18c
hex1d22e190

488825232 has 80 divisors (see below), whose sum is σ = 1449728640. Its totient is φ = 139032576.

The previous prime is 488825111. The next prime is 488825251. The reversal of 488825232 is 232528884.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 73768 + ... + 80120.

It is an arithmetic number, because the mean of its divisors is an integer number (18121608).

Almost surely, 2488825232 is an apocalyptic number.

488825232 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488825232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724864320).

488825232 is an abundant number, since it is smaller than the sum of its proper divisors (960903408).

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

488825232 is a wasteful number, since it uses less digits than its factorization.

488825232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6600 (or 6594 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 488825232 is about 22109.3923932794. The cubic root of 488825232 is about 787.7429740554.

The spelling of 488825232 in words is "four hundred eighty-eight million, eight hundred twenty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 229 336 458 687 916 1374 1603 1832 2748 3206 3664 4809 5496 6353 6412 9618 10992 12706 12824 19059 19236 25412 25648 38118 38472 44471 50824 76236 76944 88942 101648 133413 152472 177884 266826 304944 355768 533652 711536 1067304 1454837 2134608 2909674 4364511 5819348 8729022 10183859 11638696 17458044 20367718 23277392 30551577 34916088 40735436 61103154 69832176 81470872 122206308 162941744 244412616 488825232