Search a number
-
+
5073588 = 22321337293
BaseRepresentation
bin10011010110101010110100
3100112202122200
4103112222310
52244323323
6300424500
761060542
oct23265264
910482580
105073588
112955953
121848130
131088430
14960d92
156a3443
hex4d6ab4

5073588 has 72 divisors (see below), whose sum is σ = 14233128. Its totient is φ = 1513728.

The previous prime is 5073583. The next prime is 5073631. The reversal of 5073588 is 8853705.

It is a happy number.

5073588 is a `hidden beast` number, since 5 + 0 + 73 + 588 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2108304 + 2965284 = 1452^2 + 1722^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5073583) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17170 + ... + 17462.

Almost surely, 25073588 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 5073588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7116564).

5073588 is an abundant number, since it is smaller than the sum of its proper divisors (9159540).

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

5073588 is a wasteful number, since it uses less digits than its factorization.

5073588 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 5073588 is about 2252.4626522986. The cubic root of 5073588 is about 171.8324039015.

It can be divided in two parts, 507 and 3588, that added together give a triangular number (4095 = T90).

The spelling of 5073588 in words is "five million, seventy-three thousand, five hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 293 333 444 468 481 586 666 879 962 1172 1332 1443 1758 1924 2637 2886 3516 3809 4329 5274 5772 7618 8658 10548 10841 11427 15236 17316 21682 22854 32523 34281 43364 45708 65046 68562 97569 130092 137124 140933 195138 281866 390276 422799 563732 845598 1268397 1691196 2536794 5073588