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5458752 = 263813
BaseRepresentation
bin10100110100101101000000
3101021100000000
4110310231000
52344140002
6313000000
764253505
oct24645500
911240000
105458752
113099272
1219b3000
131191840
14a214ac
1572c61c
hex534b40

5458752 has 126 divisors (see below), whose sum is σ = 17497298. Its totient is φ = 1679616.

The previous prime is 5458723. The next prime is 5458771. The reversal of 5458752 is 2578545.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 3779136 + 1679616 = 1944^2 + 1296^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 419898 + ... + 419910.

Almost surely, 25458752 is an apocalyptic number.

5458752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5458752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8748649).

5458752 is an abundant number, since it is smaller than the sum of its proper divisors (12038546).

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

5458752 is an frugal number, since it uses more digits than its factorization.

5458752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49 (or 18 counting only the distinct ones).

The product of its digits is 56000, while the sum is 36.

The square root of 5458752 is about 2336.3972265007. The cubic root of 5458752 is about 176.0750368743.

The spelling of 5458752 in words is "five million, four hundred fifty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 243 288 312 324 351 416 432 468 486 576 624 648 702 729 832 864 936 972 1053 1248 1296 1404 1458 1728 1872 1944 2106 2187 2496 2592 2808 2916 3159 3744 3888 4212 4374 5184 5616 5832 6318 6561 7488 7776 8424 8748 9477 11232 11664 12636 13122 15552 16848 17496 18954 22464 23328 25272 26244 28431 33696 34992 37908 46656 50544 52488 56862 67392 69984 75816 85293 101088 104976 113724 139968 151632 170586 202176 209952 227448 303264 341172 419904 454896 606528 682344 909792 1364688 1819584 2729376 5458752