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5253030624 = 253198932359
BaseRepresentation
bin1001110010001101…
…01110001011100000
3111120002111121022210
410321012232023200
541224233434444
62225130402120
7244114011042
oct47106561340
914502447283
105253030624
112256220726
121027290340
136593c285a
1437b929a92
1520b2887b9
hex1391ae2e0

5253030624 has 96 divisors (see below), whose sum is σ = 14678496000. Its totient is φ = 1640162304.

The previous prime is 5253030613. The next prime is 5253030649. The reversal of 5253030624 is 4260303525.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5253030591 and 5253030600.

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, 146157 + ... + 178515.

It is an arithmetic number, because the mean of its divisors is an integer number (152901000).

Almost surely, 25253030624 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 5253030624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7339248000).

5253030624 is an abundant number, since it is smaller than the sum of its proper divisors (9425465376).

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

5253030624 is a wasteful number, since it uses less digits than its factorization.

5253030624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32480 (or 32472 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 5253030624 is about 72477.7940061644. The cubic root of 5253030624 is about 1738.3476876294.

The spelling of 5253030624 in words is "five billion, two hundred fifty-three million, thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 89 96 114 152 178 228 267 304 356 456 534 608 712 912 1068 1424 1691 1824 2136 2848 3382 4272 5073 6764 8544 10146 13528 20292 27056 32359 40584 54112 64718 81168 97077 129436 162336 194154 258872 388308 517744 614821 776616 1035488 1229642 1553232 1844463 2459284 2879951 3106464 3688926 4918568 5759902 7377852 8639853 9837136 11519804 14755704 17279706 19674272 23039608 29511408 34559412 46079216 54719069 59022816 69118824 92158432 109438138 138237648 164157207 218876276 276475296 328314414 437752552 656628828 875505104 1313257656 1751010208 2626515312 5253030624