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5037536 = 25743523
BaseRepresentation
bin10011001101110111100000
3100110221012102
4103031313200
52242200121
6255545532
760550460
oct23156740
910427172
105037536
112930859
12182b2a8
131074bba
14951ba0
1569790b
hex4cdde0

5037536 has 48 divisors (see below), whose sum is σ = 11620224. Its totient is φ = 2104704.

The previous prime is 5037523. The next prime is 5037569. The reversal of 5037536 is 6357305.

5037536 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

5037536 is strictly pandigital in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 5037499 and 5037508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9371 + ... + 9893.

It is an arithmetic number, because the mean of its divisors is an integer number (242088).

Almost surely, 25037536 is an apocalyptic number.

5037536 is a gapful number since it is divisible by the number (56) 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 5037536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5810112).

5037536 is an abundant number, since it is smaller than the sum of its proper divisors (6582688).

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

5037536 is a wasteful number, since it uses less digits than its factorization.

5037536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 29.

The square root of 5037536 is about 2244.4455885586. The cubic root of 5037536 is about 171.4244327043.

The spelling of 5037536 in words is "five million, thirty-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 523 602 688 1046 1204 1376 2092 2408 3661 4184 4816 7322 8368 9632 14644 16736 22489 29288 44978 58576 89956 117152 157423 179912 314846 359824 629692 719648 1259384 2518768 5037536