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5252993520 = 2435434311181
BaseRepresentation
bin1001110010001101…
…00101000111110000
3111120002102201102120
410321012211013300
541224231243040
62225125514240
7244113464625
oct47106450760
914502381376
105252993520
1122561a5865
121027272980
136593ab9b8
1437b91a34c
1520b27c7d0
hex1391a51f0

5252993520 has 160 divisors (see below), whose sum is σ = 16715787264. Its totient is φ = 1363891200.

The previous prime is 5252993491. The next prime is 5252993539. The reversal of 5252993520 is 253992525.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4447330 + ... + 4448510.

Almost surely, 25252993520 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 5252993520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8357893632).

5252993520 is an abundant number, since it is smaller than the sum of its proper divisors (11462793744).

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

5252993520 is a wasteful number, since it uses less digits than its factorization.

5252993520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

The square root of 5252993520 is about 72477.5380376569. The cubic root of 5252993520 is about 1738.3435947664.

The spelling of 5252993520 in words is "five billion, two hundred fifty-two million, nine hundred ninety-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 431 516 645 688 860 862 1032 1181 1290 1293 1720 1724 2064 2155 2362 2580 2586 3440 3448 3543 4310 4724 5160 5172 5905 6465 6896 7086 8620 9448 10320 10344 11810 12930 14172 17240 17715 18533 18896 20688 23620 25860 28344 34480 35430 37066 47240 50783 51720 55599 56688 70860 74132 92665 94480 101566 103440 111198 141720 148264 152349 185330 203132 222396 253915 277995 283440 296528 304698 370660 406264 444792 507830 509011 555990 609396 741320 761745 812528 889584 1015660 1018022 1111980 1218792 1482640 1523490 1527033 2031320 2036044 2223960 2437584 2545055 3046980 3054066 4062640 4072088 4447920 5090110 6093960 6108132 7635165 8144176 10180220 12187920 12216264 15270330 20360440 21887473 24432528 30540660 40720880 43774946 61081320 65662419 87549892 109437365 122162640 131324838 175099784 218874730 262649676 328312095 350199568 437749460 525299352 656624190 875498920 1050598704 1313248380 1750997840 2626496760 5252993520