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52292900480 = 275192226337
BaseRepresentation
bin110000101100111001…
…100101011010000000
311222222101022120202212
4300230321211122000
51324043440303410
640004550201252
73530603214542
oct605471453200
9158871276685
1052292900480
11201a4a85127
12a174953228
134c14aca582
142761071692
151560d12b05
hexc2ce65680

52292900480 has 96 divisors (see below), whose sum is σ = 131939210340. Its totient is φ = 19816169472.

The previous prime is 52292900479. The next prime is 52292900501. The reversal of 52292900480 is 8400929225.

It can be written as a sum of positive squares in 2 ways, for example, as 49181045824 + 3111854656 = 221768^2 + 55784^2 .

It is a super-2 number, since 2×522929004802 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117872 + ... + 344208.

Almost surely, 252292900480 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 52292900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65969605170).

52292900480 is an abundant number, since it is smaller than the sum of its proper divisors (79646309860).

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

52292900480 is a wasteful number, since it uses less digits than its factorization.

52292900480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226394 (or 226363 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The spelling of 52292900480 in words is "fifty-two billion, two hundred ninety-two million, nine hundred thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 361 380 608 640 722 760 1216 1444 1520 1805 2432 2888 3040 3610 5776 6080 7220 11552 12160 14440 23104 28880 46208 57760 115520 226337 231040 452674 905348 1131685 1810696 2263370 3621392 4300403 4526740 7242784 8600806 9053480 14485568 17201612 18106960 21502015 28971136 34403224 36213920 43004030 68806448 72427840 81707657 86008060 137612896 144855680 163415314 172016120 275225792 326830628 344032240 408538285 550451584 653661256 688064480 817076570 1307322512 1376128960 1634153140 2614645024 2752257920 3268306280 5229290048 6536612560 10458580096 13073225120 26146450240 52292900480