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5124336 = 2437101151
BaseRepresentation
bin10011100011000011110000
3100122100021020
4103203003300
52302434321
6301455440
761361520
oct23430360
910570236
105124336
11298aa98
121871580
1310a5569
14975680
156b34c6
hex4e30f0

5124336 has 80 divisors (see below), whose sum is σ = 15379968. Its totient is φ = 1440000.

The previous prime is 5124307. The next prime is 5124349. The reversal of 5124336 is 6334215.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

Its product of digits (2160) is a multiple of the sum of its prime factors (270).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33861 + ... + 34011.

Almost surely, 25124336 is an apocalyptic number.

5124336 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 5124336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7689984).

5124336 is an abundant number, since it is smaller than the sum of its proper divisors (10255632).

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

5124336 is a wasteful number, since it uses less digits than its factorization.

5124336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 5124336 is about 2263.6996267173. The cubic root of 5124336 is about 172.4034157911.

It can be divided in two parts, 5124 and 336, that added together give a triangular number (5460 = T104).

The spelling of 5124336 in words is "five million, one hundred twenty-four thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 151 168 202 302 303 336 404 453 604 606 707 808 906 1057 1208 1212 1414 1616 1812 2114 2121 2416 2424 2828 3171 3624 4228 4242 4848 5656 6342 7248 8456 8484 11312 12684 15251 16912 16968 25368 30502 33936 45753 50736 61004 91506 106757 122008 183012 213514 244016 320271 366024 427028 640542 732048 854056 1281084 1708112 2562168 5124336