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4752132 = 22371137139
BaseRepresentation
bin10010001000001100000100
322221102200220
4102020030010
52204032012
6245504340
755251420
oct22101404
98842626
104752132
112756390
1217120b0
13ca5018
148b9b80
1563d08c
hex488304

4752132 has 96 divisors (see below), whose sum is σ = 14300160. Its totient is φ = 1192320.

The previous prime is 4752131. The next prime is 4752133. The reversal of 4752132 is 2312574.

It is an interprime number because it is at equal distance from previous prime (4752131) and next prime (4752133).

It is not an unprimeable number, because it can be changed into a prime (4752131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34119 + ... + 34257.

It is an arithmetic number, because the mean of its divisors is an integer number (148960).

Almost surely, 24752132 is an apocalyptic number.

4752132 is a gapful number since it is divisible by the number (42) 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 4752132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150080).

4752132 is an abundant number, since it is smaller than the sum of its proper divisors (9548028).

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

4752132 is a wasteful number, since it uses less digits than its factorization.

4752132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 199 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 4752132 is about 2179.9385312435. The cubic root of 4752132 is about 168.1239165134.

It can be divided in two parts, 4752 and 132, that multiplied together give a square (627264 = 7922).

The spelling of 4752132 in words is "four million, seven hundred fifty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 37 42 44 66 74 77 84 111 132 139 148 154 222 231 259 278 308 407 417 444 462 518 556 777 814 834 924 973 1036 1221 1529 1554 1628 1668 1946 2442 2849 2919 3058 3108 3892 4587 4884 5143 5698 5838 6116 8547 9174 10286 10703 11396 11676 15429 17094 18348 20572 21406 30858 32109 34188 36001 42812 56573 61716 64218 72002 108003 113146 128436 144004 169719 216006 226292 339438 396011 432012 678876 792022 1188033 1584044 2376066 4752132