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4852467456 = 283192911467
BaseRepresentation
bin1001000010011101…
…01100011100000000
3110112011202212221220
410201032230130000
534414212424311
62121301115040
7231151202304
oct44116543400
913464685856
104852467456
112070100691
12b350b8a80
135c4414b25
14340659d04
151d6013206
hex1213ac700

4852467456 has 144 divisors (see below), whose sum is σ = 14064355200. Its totient is φ = 1479389184.

The previous prime is 4852467439. The next prime is 4852467463. The reversal of 4852467456 is 6547642584.

It is a super-2 number, since 2×48524674562 = 47092880823078223872, which contains 22 as substring.

Its product of digits (6451200) is a multiple of the sum of its prime divisors (11520).

It is a junction number, because it is equal to n+sod(n) for n = 4852467399 and 4852467408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 417435 + ... + 428901.

Almost surely, 24852467456 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 4852467456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7032177600).

4852467456 is an abundant number, since it is smaller than the sum of its proper divisors (9211887744).

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

4852467456 is a wasteful number, since it uses less digits than its factorization.

4852467456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11534 (or 11520 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 51.

The square root of 4852467456 is about 69659.6544349741. The cubic root of 4852467456 is about 1692.9892889531.

The spelling of 4852467456 in words is "four billion, eight hundred fifty-two million, four hundred sixty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 64 76 87 96 114 116 128 152 174 192 228 232 256 304 348 384 456 464 551 608 696 768 912 928 1102 1216 1392 1653 1824 1856 2204 2432 2784 3306 3648 3712 4408 4864 5568 6612 7296 7424 8816 11136 11467 13224 14592 17632 22272 22934 26448 34401 35264 45868 52896 68802 70528 91736 105792 137604 141056 183472 211584 217873 275208 332543 366944 423168 435746 550416 653619 665086 733888 871492 997629 1100832 1307238 1330172 1467776 1742984 1995258 2201664 2614476 2660344 2935552 3485968 3990516 4403328 5228952 5320688 6318317 6971936 7981032 8806656 10457904 10641376 12636634 13943872 15962064 18954951 20915808 21282752 25273268 27887744 31924128 37909902 41831616 42565504 50546536 55775488 63848256 75819804 83663232 85131008 101093072 127696512 151639608 167326464 202186144 255393024 303279216 404372288 606558432 808744576 1213116864 1617489152 2426233728 4852467456