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5235958464 = 2631122341239
BaseRepresentation
bin1001110000001011…
…00110001011000000
3111111220101020201120
410320011212023000
541210401132324
62223320432240
7243515625012
oct47005461300
914456336646
105235958464
112247620100
121021618680
136559c5c99
143795641b2
15209a15179
hex1381662c0

5235958464 has 336 divisors, whose sum is σ = 16345082880. Its totient is φ = 1474457600.

The previous prime is 5235958463. The next prime is 5235958513. The reversal of 5235958464 is 4648595325.

It is a happy number.

It is a super-2 number, since 2×52359584642 = 54830522073466478592, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5235958463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21907657 + ... + 21907895.

It is an arithmetic number, because the mean of its divisors is an integer number (48646080).

Almost surely, 25235958464 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 5235958464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8172541440).

5235958464 is an abundant number, since it is smaller than the sum of its proper divisors (11109124416).

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

5235958464 is a wasteful number, since it uses less digits than its factorization.

5235958464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 319 counting only the distinct ones).

The product of its digits is 5184000, while the sum is 51.

The square root of 5235958464 is about 72359.9230513687. The cubic root of 5235958464 is about 1736.4624547505.

The spelling of 5235958464 in words is "five billion, two hundred thirty-five million, nine hundred fifty-eight thousand, four hundred sixty-four".