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452134752 = 253311391093
BaseRepresentation
bin11010111100110…
…000011101100000
31011111202211021120
4122330300131200
51411221303002
6112510452240
714130040056
oct3274603540
91144684246
10452134752
11212244593
12107504080
1372896574
14440961d6
1529a60cbc
hex1af30760

452134752 has 96 divisors (see below), whose sum is σ = 1235082240. Its totient is φ = 144668160.

The previous prime is 452134747. The next prime is 452134763. The reversal of 452134752 is 257431254.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4521347522 = 408851667932203008, which contains 22 as substring.

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, 413118 + ... + 414210.

It is an arithmetic number, because the mean of its divisors is an integer number (12865440).

Almost surely, 2452134752 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 452134752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617541120).

452134752 is an abundant number, since it is smaller than the sum of its proper divisors (782947488).

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

452134752 is a wasteful number, since it uses less digits than its factorization.

452134752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1276 (or 1268 counting only the distinct ones).

The product of its digits is 33600, while the sum is 33.

The square root of 452134752 is about 21263.4604897698. The cubic root of 452134752 is about 767.5192846714.

The spelling of 452134752 in words is "four hundred fifty-two million, one hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 93 96 124 139 186 248 278 372 417 496 556 744 834 992 1093 1112 1488 1668 2186 2224 2976 3279 3336 4309 4372 4448 6558 6672 8618 8744 12927 13116 13344 17236 17488 25854 26232 33883 34472 34976 51708 52464 67766 68944 101649 103416 104928 135532 137888 151927 203298 206832 271064 303854 406596 413664 455781 542128 607708 813192 911562 1084256 1215416 1626384 1823124 2430832 3252768 3646248 4709737 4861664 7292496 9419474 14129211 14584992 18838948 28258422 37677896 56516844 75355792 113033688 150711584 226067376 452134752