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452496048 = 2432961732
BaseRepresentation
bin11010111110001…
…000101010110000
31011112110011212220
4122332020222300
51411314333143
6112522321040
714133103314
oct3276105260
91145404786
10452496048
11212470a84
12107659180
1372991b54
144414bb44
1529ad2d83
hex1af88ab0

452496048 has 120 divisors (see below), whose sum is σ = 1246147920. Its totient is φ = 141281280.

The previous prime is 452496029. The next prime is 452496053. The reversal of 452496048 is 840694254.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6198540 + ... + 6198612.

It is an arithmetic number, because the mean of its divisors is an integer number (10384566).

Almost surely, 2452496048 is an apocalyptic number.

452496048 is a gapful number since it is divisible by the number (48) 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 452496048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623073960).

452496048 is an abundant number, since it is smaller than the sum of its proper divisors (793651872).

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

452496048 is a wasteful number, since it uses less digits than its factorization.

452496048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 452496048 is about 21271.9544941221. The cubic root of 452496048 is about 767.7236690326.

The spelling of 452496048 in words is "four hundred fifty-two million, four hundred ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 61 73 87 116 122 146 174 183 219 232 244 292 348 366 438 464 488 584 696 732 876 976 1168 1392 1464 1752 1769 2117 2928 3504 3538 4234 4453 5307 5329 6351 7076 8468 8906 10614 10658 12702 13359 14152 15987 16936 17812 21228 21316 25404 26718 28304 31974 33872 35624 42456 42632 50808 53436 63948 71248 84912 85264 101616 106872 127896 129137 154541 213744 255792 258274 309082 325069 387411 463623 516548 618164 650138 774822 927246 975207 1033096 1236328 1300276 1549644 1854492 1950414 2066192 2472656 2600552 3099288 3708984 3900828 5201104 6198576 7417968 7801656 9427001 15603312 18854002 28281003 37708004 56562006 75416008 113124012 150832016 226248024 452496048