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5272926624 = 253272990191
BaseRepresentation
bin1001110100100101…
…00111100110100000
3111121110221102111200
410322102213212200
541244332122444
62231121041200
7244445064630
oct47222474640
914543842450
105272926624
11226647a8a9
121031a86200
1366056a834
143804286c0
1520cdb8969
hex13a4a79a0

5272926624 has 144 divisors (see below), whose sum is σ = 17728139520. Its totient is φ = 1454584320.

The previous prime is 5272926619. The next prime is 5272926629. The reversal of 5272926624 is 4266292725.

It is an interprime number because it is at equal distance from previous prime (5272926619) and next prime (5272926629).

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 5272926624.

It is not an unprimeable number, because it can be changed into a prime (5272926629) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13369 + ... + 103559.

It is an arithmetic number, because the mean of its divisors is an integer number (123112080).

Almost surely, 25272926624 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 5272926624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8864069760).

5272926624 is an abundant number, since it is smaller than the sum of its proper divisors (12455212896).

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

5272926624 is a wasteful number, since it uses less digits than its factorization.

5272926624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90243 (or 90232 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 5272926624 is about 72614.9201197660. The cubic root of 5272926624 is about 1740.5396027579.

The spelling of 5272926624 in words is "five billion, two hundred seventy-two million, nine hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 32 36 42 48 56 58 63 72 84 87 96 112 116 126 144 168 174 203 224 232 252 261 288 336 348 406 464 504 522 609 672 696 812 928 1008 1044 1218 1392 1624 1827 2016 2088 2436 2784 3248 3654 4176 4872 6496 7308 8352 9744 14616 19488 29232 58464 90191 180382 270573 360764 541146 631337 721528 811719 1082292 1262674 1443056 1623438 1894011 2164584 2525348 2615539 2886112 3246876 3788022 4329168 5050696 5231078 5682033 6493752 7576044 7846617 8658336 10101392 10462156 11364066 12987504 15152088 15693234 18308773 20202784 20924312 22728132 23539851 25975008 30304176 31386468 36617546 41848624 45456264 47079702 54926319 60608352 62772936 73235092 83697248 90912528 94159404 109852638 125545872 146470184 164778957 181825056 188318808 219705276 251091744 292940368 329557914 376637616 439410552 585880736 659115828 753275232 878821104 1318231656 1757642208 2636463312 5272926624