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5152644 = 22327223127
BaseRepresentation
bin10011101001111110000100
3100200210002200
4103221332010
52304341034
6302234500
761540200
oct23517604
910623080
105152644
1129aa292
121885a30
1310b5403
14981b00
156bba99
hex4e9f84

5152644 has 108 divisors (see below), whose sum is σ = 15934464. Its totient is φ = 1397088.

The previous prime is 5152643. The next prime is 5152669. The reversal of 5152644 is 4462515.

5152644 is a `hidden beast` number, since 5 + 15 + 2 + 644 = 666.

5152644 is digitally balanced in base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

5152644 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (5152643) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40509 + ... + 40635.

Almost surely, 25152644 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 5152644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7967232).

5152644 is an abundant number, since it is smaller than the sum of its proper divisors (10781820).

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

5152644 is a wasteful number, since it uses less digits than its factorization.

5152644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 162 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 5152644 is about 2269.9436116344. The cubic root of 5152644 is about 172.7202982494.

The spelling of 5152644 in words is "five million, one hundred fifty-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 49 63 69 84 92 98 126 127 138 147 161 196 207 252 254 276 294 322 381 414 441 483 508 588 644 762 828 882 889 966 1127 1143 1449 1524 1764 1778 1932 2254 2286 2667 2898 2921 3381 3556 4508 4572 5334 5796 5842 6223 6762 8001 8763 10143 10668 11684 12446 13524 16002 17526 18669 20286 20447 24892 26289 32004 35052 37338 40572 40894 52578 56007 61341 74676 81788 105156 112014 122682 143129 184023 224028 245364 286258 368046 429387 572516 736092 858774 1288161 1717548 2576322 5152644