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5252300100 = 22325216335803
BaseRepresentation
bin1001110010000111…
…11011110101000100
3111120001010111020100
410321003323311010
541224042100400
62225103004100
7244104546165
oct47103736504
914501114210
105252300100
112255871893
121026b99630
136591c81a8
1437b7b976c
1520b192100
hex1390fbd44

5252300100 has 108 divisors (see below), whose sum is σ = 16564505776. Its totient is φ = 1391981760.

The previous prime is 5252300087. The next prime is 5252300101. The reversal of 5252300100 is 10032525.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (5252300101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128799 + ... + 164601.

Almost surely, 25252300100 is an apocalyptic number.

5252300100 is a gapful number since it is divisible by the number (50) 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 5252300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8282252888).

5252300100 is an abundant number, since it is smaller than the sum of its proper divisors (11312205676).

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

5252300100 is a wasteful number, since it uses less digits than its factorization.

5252300100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35986 (or 35976 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5252300100 is about 72472.7541907992. The cubic root of 5252300100 is about 1738.2671015405.

Adding to 5252300100 its reverse (10032525), we get a palindrome (5262332625).

The spelling of 5252300100 in words is "five billion, two hundred fifty-two million, three hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 163 180 225 300 326 450 489 652 815 900 978 1467 1630 1956 2445 2934 3260 4075 4890 5868 7335 8150 9780 12225 14670 16300 24450 29340 35803 36675 48900 71606 73350 107409 143212 146700 179015 214818 322227 358030 429636 537045 644454 716060 895075 1074090 1288908 1611135 1790150 2148180 2685225 3222270 3580300 5370450 5835889 6444540 8055675 10740900 11671778 16111350 17507667 23343556 29179445 32222700 35015334 52523001 58358890 70030668 87538335 105046002 116717780 145897225 175076670 210092004 262615005 291794450 350153340 437691675 525230010 583588900 875383350 1050460020 1313075025 1750766700 2626150050 5252300100