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5305857232 = 2413415571117
BaseRepresentation
bin1001111000100000…
…01111010011010000
3111200202220110210211
410330100033103100
541331244412412
62234254533504
7245325020344
oct47420172320
914622813724
105305857232
112283022085
121040b07294
1366732a6c0
1438495b624
15210c20ca7
hex13c40f4d0

5305857232 has 80 divisors (see below), whose sum is σ = 11371428432. Its totient is φ = 2382704640.

The previous prime is 5305857211. The next prime is 5305857241. The reversal of 5305857232 is 2327585035.

It can be written as a sum of positive squares in 8 ways, for example, as 3787663936 + 1518193296 = 61544^2 + 38964^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4749538 + ... + 4750654.

Almost surely, 25305857232 is an apocalyptic number.

5305857232 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 5305857232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685714216).

5305857232 is an abundant number, since it is smaller than the sum of its proper divisors (6065571200).

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

5305857232 is a wasteful number, since it uses less digits than its factorization.

5305857232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1736 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

The square root of 5305857232 is about 72841.3154192042. The cubic root of 5305857232 is about 1744.1554391799.

The spelling of 5305857232 in words is "five billion, three hundred five million, eight hundred fifty-seven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 41 52 82 104 164 208 328 533 557 656 1066 1114 1117 2132 2228 2234 4264 4456 4468 7241 8528 8912 8936 14482 14521 17872 22837 28964 29042 45674 45797 57928 58084 91348 91594 115856 116168 182696 183188 232336 296881 365392 366376 593762 595361 622169 732752 1187524 1190722 1244338 2375048 2381444 2488676 4750096 4762888 4977352 8088197 9525776 9954704 16176394 25508929 32352788 51017858 64705576 102035716 129411152 204071432 331616077 408142864 663232154 1326464308 2652928616 5305857232