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52752525520 = 2454740934303
BaseRepresentation
bin110001001000010010…
…111010100011010000
312001011102011221210111
4301020102322203100
51331014121304040
640122325411104
73545154032332
oct611022724320
9161142157714
1052752525520
1120410475232
12a282869a94
134c890b7256
1427a6117452
15158b352dea
hexc484ba8d0

52752525520 has 80 divisors (see below), whose sum is σ = 125569105920. Its totient is φ = 20600957952.

The previous prime is 52752525451. The next prime is 52752525523. The reversal of 52752525520 is 2552525725.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52752525523) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1520689 + ... + 1554991.

It is an arithmetic number, because the mean of its divisors is an integer number (1569613824).

Almost surely, 252752525520 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 52752525520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62784552960).

52752525520 is an abundant number, since it is smaller than the sum of its proper divisors (72816580400).

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

52752525520 is a wasteful number, since it uses less digits than its factorization.

52752525520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34772 (or 34766 counting only the distinct ones).

The product of its (nonzero) digits is 350000, while the sum is 40.

The spelling of 52752525520 in words is "fifty-two billion, seven hundred fifty-two million, five hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 409 470 752 818 940 1636 1880 2045 3272 3760 4090 6544 8180 16360 19223 32720 34303 38446 68606 76892 96115 137212 153784 171515 192230 274424 307568 343030 384460 548848 686060 768920 1372120 1537840 1612241 2744240 3224482 6448964 8061205 12897928 14029927 16122410 25795856 28059854 32244820 56119708 64489640 70149635 112239416 128979280 140299270 224478832 280598540 561197080 659406569 1122394160 1318813138 2637626276 3297032845 5275252552 6594065690 10550505104 13188131380 26376262760 52752525520