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5388048 = 2432173171
BaseRepresentation
bin10100100011011100010000
3101010202000100
4110203130100
52334404143
6311252400
763540411
oct24433420
911122010
105388048
113050136
12197a100
1311685c3
14a03808
157166d3
hex523710

5388048 has 120 divisors (see below), whose sum is σ = 16713216. Its totient is φ = 1612800.

The previous prime is 5388043. The next prime is 5388091. The reversal of 5388048 is 8408835.

5388048 is a `hidden beast` number, since 538 + 80 + 48 = 666.

It is a super-2 number, since 2×53880482 = 58062122500608, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5388041) 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, 75853 + ... + 75923.

Almost surely, 25388048 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 5388048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8356608).

5388048 is an abundant number, since it is smaller than the sum of its proper divisors (11325168).

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

5388048 is a wasteful number, since it uses less digits than its factorization.

5388048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 5388048 is about 2321.2169222199. The cubic root of 5388048 is about 175.3115321612.

The spelling of 5388048 in words is "five million, three hundred eighty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 31 34 36 48 51 62 68 71 72 93 102 124 136 142 144 153 186 204 213 248 272 279 284 306 372 408 426 496 527 558 568 612 639 744 816 852 1054 1116 1136 1207 1224 1278 1488 1581 1704 2108 2201 2232 2414 2448 2556 3162 3408 3621 4216 4402 4464 4743 4828 5112 6324 6603 7242 8432 8804 9486 9656 10224 10863 12648 13206 14484 17608 18972 19312 19809 21726 25296 26412 28968 35216 37417 37944 39618 43452 52824 57936 74834 75888 79236 86904 105648 112251 149668 158472 173808 224502 299336 316944 336753 449004 598672 673506 898008 1347012 1796016 2694024 5388048