Search a number
-
+
5235607416 = 2331343397983
BaseRepresentation
bin1001110000001000…
…10000011101111000
3111111212201102011210
410320010100131320
541210303414131
62223305123120
7243512633364
oct47004203570
914455642153
105235607416
112247400386
1210214894a0
13655902270
143794b22a4
15209996146
hex138110778

5235607416 has 128 divisors (see below), whose sum is σ = 14474718720. Its totient is φ = 1567931904.

The previous prime is 5235607409. The next prime is 5235607427. The reversal of 5235607416 is 6147065325.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5325661 + ... + 5326643.

It is an arithmetic number, because the mean of its divisors is an integer number (113083740).

Almost surely, 25235607416 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 5235607416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7237359360).

5235607416 is an abundant number, since it is smaller than the sum of its proper divisors (9239111304).

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

5235607416 is a wasteful number, since it uses less digits than its factorization.

5235607416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 5235607416 is about 72357.4973033203. The cubic root of 5235607416 is about 1736.4236464916.

The spelling of 5235607416 in words is "five billion, two hundred thirty-five million, six hundred seven thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 43 52 78 86 104 129 156 172 258 312 344 397 516 559 794 983 1032 1118 1191 1588 1677 1966 2236 2382 2949 3176 3354 3932 4472 4764 5161 5898 6708 7864 9528 10322 11796 12779 13416 15483 17071 20644 23592 25558 30966 34142 38337 41288 42269 51116 51213 61932 68284 76674 84538 102232 102426 123864 126807 136568 153348 169076 204852 221923 253614 306696 338152 390251 409704 443846 507228 549497 665769 780502 887692 1014456 1098994 1170753 1331538 1561004 1648491 1775384 2197988 2341506 2663076 3122008 3296982 4395976 4683012 5073263 5326152 6593964 9366024 10146526 13187928 15219789 16780793 20293052 30439578 33561586 40586104 50342379 60879156 67123172 100684758 121758312 134246344 201369516 218150309 402739032 436300618 654450927 872601236 1308901854 1745202472 2617803708 5235607416