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452791240 = 235111795749
BaseRepresentation
bin11010111111010…
…000101111001000
31011120000011210221
4122333100233020
51411403304430
6112532515424
714135443036
oct3277205710
91146004727
10452791240
11212652840
1210777bb74
1372a66315
14441c7556
1529b4057a
hex1afd0bc8

452791240 has 64 divisors (see below), whose sum is σ = 1117800000. Its totient is φ = 163703040.

The previous prime is 452791231. The next prime is 452791253. The reversal of 452791240 is 42197254.

It is a junction number, because it is equal to n+sod(n) for n = 452791196 and 452791205.

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, 75886 + ... + 81634.

It is an arithmetic number, because the mean of its divisors is an integer number (17465625).

Almost surely, 2452791240 is an apocalyptic number.

452791240 is a gapful number since it is divisible by the number (40) 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 452791240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558900000).

452791240 is an abundant number, since it is smaller than the sum of its proper divisors (665008760).

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

452791240 is a wasteful number, since it uses less digits than its factorization.

452791240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5950 (or 5946 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 452791240 is about 21278.8918884419. The cubic root of 452791240 is about 767.8905777627.

The spelling of 452791240 in words is "four hundred fifty-two million, seven hundred ninety-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 179 220 358 440 716 895 1432 1790 1969 3580 3938 5749 7160 7876 9845 11498 15752 19690 22996 28745 39380 45992 57490 63239 78760 114980 126478 229960 252956 316195 505912 632390 1029071 1264780 2058142 2529560 4116284 5145355 8232568 10290710 11319781 20581420 22639562 41162840 45279124 56598905 90558248 113197810 226395620 452791240