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8490752452 = 22713193733181
BaseRepresentation
bin1111110100001011…
…01001100111000100
3210220201211220201001
413322011221213010
5114342113034302
63522310143044
7420260130220
oct77205514704
923821756631
108490752452
113667898a96
12178b651a84
13a5410aca0
145a7933780
1534a638787
hex1fa1699c4

8490752452 has 96 divisors (see below), whose sum is σ = 19771162880. Its totient is φ = 3096092160.

The previous prime is 8490752447. The next prime is 8490752453. The reversal of 8490752452 is 2542570948.

It is a super-2 number, since 2×84907524522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8490752453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239302 + ... + 272482.

Almost surely, 28490752452 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 8490752452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9885581440).

8490752452 is an abundant number, since it is smaller than the sum of its proper divisors (11280410428).

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

8490752452 is a wasteful number, since it uses less digits than its factorization.

8490752452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33261 (or 33259 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 46.

The square root of 8490752452 is about 92145.2790543281. The cubic root of 8490752452 is about 2040.0871784479.

The spelling of 8490752452 in words is "eight billion, four hundred ninety million, seven hundred fifty-two thousand, four hundred fifty-two".

Divisors: 1 2 4 7 13 14 19 26 28 37 38 52 74 76 91 133 148 182 247 259 266 364 481 494 518 532 703 962 988 1036 1406 1729 1924 2812 3367 3458 4921 6734 6916 9139 9842 13468 18278 19684 33181 36556 63973 66362 127946 132724 232267 255892 431353 464534 630439 862706 929068 1227697 1260878 1725412 2455394 2521756 3019471 4413073 4910788 6038942 8195707 8593879 8826146 12077884 15960061 16391414 17187758 17652292 23326243 31920122 32782828 34375516 46652486 57369949 63840244 93304972 111720427 114739898 163283701 223440854 229479796 303241159 326567402 446881708 606482318 653134804 1212964636 2122688113 4245376226 8490752452