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452113974 = 234131371567
BaseRepresentation
bin11010111100101…
…011011000110110
31011111201202210000
4122330223120312
51411220121344
6112510212130
714126622354
oct3274533066
91144652700
10452113974
1121222aa14
121074b4046
1372889c80
144408c7d4
1529a59a69
hex1af2b636

452113974 has 80 divisors (see below), whose sum is σ = 1099663488. Its totient is φ = 138008448.

The previous prime is 452113969. The next prime is 452113979. The reversal of 452113974 is 479311254.

452113974 is a `hidden beast` number, since 452 + 1 + 139 + 74 = 666.

It is an interprime number because it is at equal distance from previous prime (452113969) and next prime (452113979).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452113979) 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 39 ways as a sum of consecutive naturals, for example, 287739 + ... + 289305.

Almost surely, 2452113974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 452113974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549831744).

452113974 is an abundant number, since it is smaller than the sum of its proper divisors (647549514).

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

452113974 is a wasteful number, since it uses less digits than its factorization.

452113974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1722 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 452113974 is about 21262.9718995252. The cubic root of 452113974 is about 767.5075272916.

The spelling of 452113974 in words is "four hundred fifty-two million, one hundred thirteen thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 137 162 234 274 351 411 702 822 1053 1233 1567 1781 2106 2466 3134 3562 3699 4701 5343 7398 9402 10686 11097 14103 16029 20371 22194 28206 32058 40742 42309 48087 61113 84618 96174 122226 126927 144261 183339 214679 253854 288522 366678 429358 550017 644037 1100034 1288074 1650051 1932111 2790827 3300102 3864222 5581654 5796333 8372481 11592666 16744962 17388999 25117443 34777998 50234886 75352329 150704658 226056987 452113974