Search a number
-
+
4252632500 = 22542958657
BaseRepresentation
bin1111110101111010…
…0000010110110100
3101222101002010002102
43331132200112310
532202133220000
61541552401232
7210245531324
oct37536402664
911871063072
104252632500
111892555816
129a8246218
1352a0763bc
142c4b17284
1519d5293d5
hexfd7a05b4

4252632500 has 60 divisors (see below), whose sum is σ = 9620498580. Its totient is φ = 1642368000.

The previous prime is 4252632451. The next prime is 4252632547. The reversal of 4252632500 is 52362524.

It can be written as a sum of positive squares in 10 ways, for example, as 2033468836 + 2219163664 = 45094^2 + 47108^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43172 + ... + 101828.

It is an arithmetic number, because the mean of its divisors is an integer number (160341643).

Almost surely, 24252632500 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 4252632500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4810249290).

4252632500 is an abundant number, since it is smaller than the sum of its proper divisors (5367866080).

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

4252632500 is a wasteful number, since it uses less digits than its factorization.

4252632500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58710 (or 58693 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The square root of 4252632500 is about 65212.2112797902. The cubic root of 4252632500 is about 1620.1402738871.

The spelling of 4252632500 in words is "four billion, two hundred fifty-two million, six hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 125 145 250 290 500 580 625 725 1250 1450 2500 2900 3625 7250 14500 18125 36250 58657 72500 117314 234628 293285 586570 1173140 1466425 1701053 2932850 3402106 5865700 6804212 7332125 8505265 14664250 17010530 29328500 34021060 36660625 42526325 73321250 85052650 146642500 170105300 212631625 425263250 850526500 1063158125 2126316250 4252632500