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5252429300 = 22521371512539
BaseRepresentation
bin1001110010001000…
…11011010111110100
3111120001101001110112
410321010123113310
541224110214200
62225105442152
7244105624646
oct47104332764
914501331415
105252429300
11225594a968
121027040358
13659241c41
1437b810896
1520b1ba535
hex13911b5f4

5252429300 has 72 divisors (see below), whose sum is σ = 11561551680. Its totient is φ = 2071008000.

The previous prime is 5252429261. The next prime is 5252429333. The reversal of 5252429300 is 39242525.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2067431 + ... + 2069969.

Almost surely, 25252429300 is an apocalyptic number.

5252429300 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 5252429300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5780775840).

5252429300 is an abundant number, since it is smaller than the sum of its proper divisors (6309122380).

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

5252429300 is a wasteful number, since it uses less digits than its factorization.

5252429300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841 (or 2834 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 5252429300 is about 72473.6455547808. The cubic root of 5252429300 is about 1738.2813544877.

The spelling of 5252429300 in words is "five billion, two hundred fifty-two million, four hundred twenty-nine thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 137 151 274 302 548 604 685 755 1370 1510 2539 2740 3020 3425 3775 5078 6850 7550 10156 12695 13700 15100 20687 25390 41374 50780 63475 82748 103435 126950 206870 253900 347843 383389 413740 517175 695686 766778 1034350 1391372 1533556 1739215 1916945 2068700 3478430 3833890 6956860 7667780 8696075 9584725 17392150 19169450 34784300 38338900 52524293 105048586 210097172 262621465 525242930 1050485860 1313107325 2626214650 5252429300