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452084136 = 233723791481
BaseRepresentation
bin11010111100100…
…100000110101000
31011111200020211220
4122330210012220
51411213143021
6112505422040
714126436360
oct3274440650
91144606756
10452084136
1121220a559
1210749a920
137287950a
14440819a0
1529a50cc6
hex1af241a8

452084136 has 128 divisors (see below), whose sum is σ = 1365811200. Its totient is φ = 121904640.

The previous prime is 452084131. The next prime is 452084141. The reversal of 452084136 is 631480254.

It is an interprime number because it is at equal distance from previous prime (452084131) and next prime (452084141).

It is a junction number, because it is equal to n+sod(n) for n = 452084097 and 452084106.

It is not an unprimeable number, because it can be changed into a prime (452084131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304516 + ... + 305996.

It is an arithmetic number, because the mean of its divisors is an integer number (10670400).

Almost surely, 2452084136 is an apocalyptic number.

452084136 is a gapful number since it is divisible by the number (46) 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 452084136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682905600).

452084136 is an abundant number, since it is smaller than the sum of its proper divisors (913727064).

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

452084136 is a wasteful number, since it uses less digits than its factorization.

452084136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 452084136 is about 21262.2702456723. The cubic root of 452084136 is about 767.4906426160.

The spelling of 452084136 in words is "four hundred fifty-two million, eighty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 79 84 92 138 158 161 168 184 237 276 316 322 474 483 552 553 632 644 948 966 1106 1288 1481 1659 1817 1896 1932 2212 2962 3318 3634 3864 4424 4443 5451 5924 6636 7268 8886 10367 10902 11848 12719 13272 14536 17772 20734 21804 25438 31101 34063 35544 38157 41468 43608 50876 62202 68126 76314 82936 101752 102189 116999 124404 136252 152628 204378 233998 238441 248808 272504 305256 350997 408756 467996 476882 701994 715323 817512 818993 935992 953764 1403988 1430646 1637986 1907528 2456979 2690977 2807976 2861292 3275972 4913958 5381954 5722584 6551944 8072931 9827916 10763908 16145862 18836839 19655832 21527816 32291724 37673678 56510517 64583448 75347356 113021034 150694712 226042068 452084136