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5212442456 = 2313433473359
BaseRepresentation
bin1001101101010111…
…11000111101011000
3111110021010111211022
410312223320331120
541133341124311
62221120422012
7243112013144
oct46653707530
914407114738
105212442456
112235319191
121015777908
13650b813a0
143763a2224
1520791c5db
hex136af8f58

5212442456 has 64 divisors (see below), whose sum is σ = 10804147200. Its totient is φ = 2342325888.

The previous prime is 5212442429. The next prime is 5212442461. The reversal of 5212442456 is 6542442125.

It is a super-2 number, since 2×52124424562 = 54339112714222623872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1550105 + ... + 1553463.

It is an arithmetic number, because the mean of its divisors is an integer number (168814800).

Almost surely, 25212442456 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 5212442456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5402073600).

5212442456 is an abundant number, since it is smaller than the sum of its proper divisors (5591704744).

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

5212442456 is a wasteful number, since it uses less digits than its factorization.

5212442456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3768 (or 3764 counting only the distinct ones).

The product of its digits is 76800, while the sum is 35.

The square root of 5212442456 is about 72197.2468727167. The cubic root of 5212442456 is about 1733.8589230906.

The spelling of 5212442456 in words is "five billion, two hundred twelve million, four hundred forty-two thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 26 43 52 86 104 172 344 347 559 694 1118 1388 2236 2776 3359 4472 4511 6718 9022 13436 14921 18044 26872 29842 36088 43667 59684 87334 119368 144437 174668 193973 288874 349336 387946 577748 775892 1155496 1165573 1551784 1877681 2331146 3755362 4662292 7510724 9324584 15021448 15152449 30304898 50119639 60609796 100239278 121219592 200478556 400957112 651555307 1303110614 2606221228 5212442456