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5235032 = 23111931101
BaseRepresentation
bin10011111110000101011000
3100211222010002
4103332011120
52320010112
6304112132
762332325
oct23760530
910758102
105235032
112a56180
121905648
131113a6a
149a3b4c
156d61c2
hex4fe158

5235032 has 64 divisors (see below), whose sum is σ = 11750400. Its totient is φ = 2160000.

The previous prime is 5235029. The next prime is 5235037. The reversal of 5235032 is 2305325.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 5234995 and 5235013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5235037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51782 + ... + 51882.

It is an arithmetic number, because the mean of its divisors is an integer number (183600).

Almost surely, 25235032 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 5235032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5875200).

5235032 is an abundant number, since it is smaller than the sum of its proper divisors (6515368).

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

5235032 is a wasteful number, since it uses less digits than its factorization.

5235032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 20.

The square root of 5235032 is about 2288.0192306884. The cubic root of 5235032 is about 173.6360030660.

It can be divided in two parts, 523 and 5032, that added together give a palindrome (5555).

The spelling of 5235032 in words is "five million, two hundred thirty-five thousand, thirty-two".

Divisors: 1 2 4 8 11 19 22 31 38 44 62 76 88 101 124 152 202 209 248 341 404 418 589 682 808 836 1111 1178 1364 1672 1919 2222 2356 2728 3131 3838 4444 4712 6262 6479 7676 8888 12524 12958 15352 21109 25048 25916 34441 42218 51832 59489 68882 84436 118978 137764 168872 237956 275528 475912 654379 1308758 2617516 5235032