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5070624 = 2531317239
BaseRepresentation
bin10011010101111100100000
3100112121120220
4103111330200
52244224444
6300403040
761046106
oct23257440
910477526
105070624
1129536a9
121846480
131086c90
1495dc76
156a2619
hex4d5f20

5070624 has 96 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 1462272.

The previous prime is 5070613. The next prime is 5070631. The reversal of 5070624 is 4260705.

It is a happy number.

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

It is a super-2 number, since 2×50706242 = 51422455498752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a zygodrome in base 5.

It is a junction number, because it is equal to n+sod(n) for n = 5070594 and 5070603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21097 + ... + 21335.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 25070624 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 5070624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

5070624 is an abundant number, since it is smaller than the sum of its proper divisors (10170336).

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

5070624 is a wasteful number, since it uses less digits than its factorization.

5070624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 5070624 is about 2251.8046096409. The cubic root of 5070624 is about 171.7989357748.

The spelling of 5070624 in words is "five million, seventy thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 68 78 96 102 104 136 156 204 208 221 239 272 312 408 416 442 478 544 624 663 717 816 884 956 1248 1326 1434 1632 1768 1912 2652 2868 3107 3536 3824 4063 5304 5736 6214 7072 7648 8126 9321 10608 11472 12189 12428 16252 18642 21216 22944 24378 24856 32504 37284 48756 49712 52819 65008 74568 97512 99424 105638 130016 149136 158457 195024 211276 298272 316914 390048 422552 633828 845104 1267656 1690208 2535312 5070624