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5206152432 = 243138539781
BaseRepresentation
bin1001101100100111…
…11001010011110000
3111102211021221112110
410312103321103300
541130233334212
62220333525320
7243004364655
oct46623712360
914384257473
105206152432
112231812418
121013643840
1364c78b390
14375605c2c
152070c8a3c
hex1364f94f0

5206152432 has 80 divisors (see below), whose sum is σ = 14502245408. Its totient is φ = 1599851520.

The previous prime is 5206152409. The next prime is 5206152443. The reversal of 5206152432 is 2342516025.

It is a self number, because there is not a number n which added to its sum of digits gives 5206152432.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 527382 + ... + 537162.

Almost surely, 25206152432 is an apocalyptic number.

5206152432 is a gapful number since it is divisible by the number (52) 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 5206152432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7251122704).

5206152432 is an abundant number, since it is smaller than the sum of its proper divisors (9296092976).

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

5206152432 is a wasteful number, since it uses less digits than its factorization.

5206152432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10658 (or 10652 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 5206152432 is about 72153.6723389738. The cubic root of 5206152432 is about 1733.1612076943.

Adding to 5206152432 its reverse (2342516025), we get a palindrome (7548668457).

The spelling of 5206152432 in words is "five billion, two hundred six million, one hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 853 1706 2559 3412 5118 6824 9781 10236 11089 13648 19562 20472 22178 29343 33267 39124 40944 44356 58686 66534 78248 88712 117372 127153 133068 156496 177424 234744 254306 266136 381459 469488 508612 532272 762918 1017224 1525836 2034448 3051672 6103344 8343193 16686386 25029579 33372772 50059158 66745544 100118316 108461509 133491088 200236632 216923018 325384527 400473264 433846036 650769054 867692072 1301538108 1735384144 2603076216 5206152432