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5037968 = 241353457
BaseRepresentation
bin10011001101111110010000
3100110221210102
4103031332100
52242203333
6255551532
760551645
oct23157620
910427712
105037968
112931111
12182b5a8
131075160
14951dcc
15697ae8
hex4cdf90

5037968 has 40 divisors (see below), whose sum is σ = 10733688. Its totient is φ = 2276352.

The previous prime is 5037961. The next prime is 5037997. The reversal of 5037968 is 8697305.

It can be written as a sum of positive squares in 4 ways, for example, as 1227664 + 3810304 = 1108^2 + 1952^2 .

It is a super-2 number, since 2×50379682 = 50762243138048, which contains 22 as substring.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (5037961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10796 + ... + 11252.

Almost surely, 25037968 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 5037968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5366844).

5037968 is an abundant number, since it is smaller than the sum of its proper divisors (5695720).

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

5037968 is a wasteful number, since it uses less digits than its factorization.

5037968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 38.

The square root of 5037968 is about 2244.5418240701. The cubic root of 5037968 is about 171.4293328009.

The spelling of 5037968 in words is "five million, thirty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 52 53 104 106 208 212 424 457 689 848 914 1378 1828 2756 3656 5512 5941 7312 11024 11882 23764 24221 47528 48442 95056 96884 193768 314873 387536 629746 1259492 2518984 5037968