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4893567952 = 2471319237691
BaseRepresentation
bin1001000111010110…
…11110101111010000
3110122001010000020111
410203223132233100
540010223133302
62125330051104
7232160432650
oct44353365720
913561100214
104893567952
112091323039
12b46a19a94
135ccaa5550
14345cb8360
151d99310d7
hex123adebd0

4893567952 has 160 divisors (see below), whose sum is σ = 12819179520. Its totient is φ = 1754058240.

The previous prime is 4893567919. The next prime is 4893567979. The reversal of 4893567952 is 2597653984.

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, 632427 + ... + 640117.

It is an arithmetic number, because the mean of its divisors is an integer number (80119872).

Almost surely, 24893567952 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 4893567952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6409589760).

4893567952 is an abundant number, since it is smaller than the sum of its proper divisors (7925611568).

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

4893567952 is a wasteful number, since it uses less digits than its factorization.

4893567952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7761 (or 7755 counting only the distinct ones).

The product of its digits is 16329600, while the sum is 58.

The square root of 4893567952 is about 69954.0417131133. The cubic root of 4893567952 is about 1697.7557411933.

The spelling of 4893567952 in words is "four billion, eight hundred ninety-three million, five hundred sixty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 19 23 26 28 38 46 52 56 76 91 92 104 112 133 152 161 182 184 208 247 266 299 304 322 364 368 437 494 532 598 644 728 874 988 1064 1196 1288 1456 1729 1748 1976 2093 2128 2392 2576 3059 3458 3496 3952 4186 4784 5681 6118 6916 6992 7691 8372 11362 12236 13832 15382 16744 22724 24472 27664 30764 33488 39767 45448 48944 53837 61528 79534 90896 99983 107674 123056 146129 159068 176893 199966 215348 292258 318136 353786 399932 430696 584516 636272 699881 707572 799864 861392 1022903 1169032 1238251 1399762 1415144 1599728 1899677 2045806 2299609 2338064 2476502 2799524 2830288 3360967 3799354 4091612 4599218 4953004 5599048 6721934 7598708 8183224 9198436 9906008 11198096 13297739 13443868 15197416 16097263 16366448 18396872 19812016 23526769 26595478 26887736 30394832 32194526 36793744 43692571 47053538 53190956 53775472 64389052 87385142 94107076 106381912 128778104 174770284 188214152 212763824 257556208 305847997 349540568 376428304 611695994 699081136 1223391988 2446783976 4893567952