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5375808 = 26341761
BaseRepresentation
bin10100100000011101000000
3101010010020000
4110200131000
52334011213
6311120000
763456624
oct24403500
911103200
105375808
113041a19
121973000
131162b69
149dd184
15712c73
hex520740

5375808 has 140 divisors (see below), whose sum is σ = 17149572. Its totient is φ = 1658880.

The previous prime is 5375807. The next prime is 5375809. The reversal of 5375808 is 8085735.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5375807) and next prime (5375809).

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 3504384 = 1368^2 + 1872^2 .

It is a super-3 number, since 3×53758083 (a number of 21 digits) contains 333 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 (5375807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 88098 + ... + 88158.

Almost surely, 25375808 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 5375808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8574786).

5375808 is an abundant number, since it is smaller than the sum of its proper divisors (11773764).

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

5375808 is a wasteful number, since it uses less digits than its factorization.

5375808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 83 counting only the distinct ones).

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

The square root of 5375808 is about 2318.5788750871. The cubic root of 5375808 is about 175.1786800854.

The spelling of 5375808 in words is "five million, three hundred seventy-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 61 64 68 72 81 96 102 108 122 136 144 153 162 183 192 204 216 244 272 288 306 324 366 408 432 459 488 544 549 576 612 648 732 816 864 918 976 1037 1088 1098 1224 1296 1377 1464 1632 1647 1728 1836 1952 2074 2196 2448 2592 2754 2928 3111 3264 3294 3672 3904 4148 4392 4896 4941 5184 5508 5856 6222 6588 7344 8296 8784 9333 9792 9882 11016 11712 12444 13176 14688 16592 17568 18666 19764 22032 24888 26352 27999 29376 33184 35136 37332 39528 44064 49776 52704 55998 66368 74664 79056 83997 88128 99552 105408 111996 149328 158112 167994 199104 223992 298656 316224 335988 447984 597312 671976 895968 1343952 1791936 2687904 5375808