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5373952 = 21741
BaseRepresentation
bin10100100000000000000000
3101010000200021
4110200000000
52333431302
6311103224
763451333
oct24400000
911100607
105373952
113040591
121971b14
13116206c
149dc61a
15712437
hex520000

5373952 has 36 divisors (see below), whose sum is σ = 11010006. Its totient is φ = 2621440.

The previous prime is 5373931. The next prime is 5373971. The reversal of 5373952 is 2593735.

It can be written as a sum of positive squares in only one way, i.e., 5308416 + 65536 = 2304^2 + 256^2 .

It is a d-powerful number, because it can be written as 55 + 313 + 73 + 313 + 94 + 57 + 221 .

Its product of digits (28350) is a multiple of the sum of its prime factors (75).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 131052 + ... + 131092.

Almost surely, 25373952 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 5373952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505003).

5373952 is an abundant number, since it is smaller than the sum of its proper divisors (5636054).

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

5373952 is an frugal number, since it uses more digits than its factorization.

5373952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 43 counting only the distinct ones).

The product of its digits is 28350, while the sum is 34.

The square root of 5373952 is about 2318.1785953632. The cubic root of 5373952 is about 175.1585175935.

It can be divided in two parts, 537 and 3952, that added together give a square (4489 = 672).

The spelling of 5373952 in words is "five million, three hundred seventy-three thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 256 328 512 656 1024 1312 2048 2624 4096 5248 8192 10496 16384 20992 32768 41984 65536 83968 131072 167936 335872 671744 1343488 2686976 5373952