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5295763984 = 24722321132
BaseRepresentation
bin1001110111010011…
…01111001000010000
3111200001220200110211
410323221233020100
541321203421414
62233254333504
7245143152100
oct47351571020
914601820424
105295763984
112278358955
12103965a294
13665205574
14383491200
1520edca3c4
hex13ba6f210

5295763984 has 135 divisors (see below), whose sum is σ = 12588636333. Its totient is φ = 2151722496.

The previous prime is 5295763981. The next prime is 5295763987. The reversal of 5295763984 is 4893675925.

The square root of 5295763984 is 72772.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (5295763981) and next prime (5295763987).

It can be written as a sum of positive squares in only one way, i.e., 93315600 + 5202448384 = 9660^2 + 72128^2 .

It is not an unprimeable number, because it can be changed into a prime (5295763981) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 46865112 + ... + 46865224.

Almost surely, 25295763984 is an apocalyptic number.

5295763984 is the 72772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5295763984

5295763984 is an abundant number, since it is smaller than the sum of its proper divisors (7292872349).

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

5295763984 is a wasteful number, since it uses less digits than its factorization.

5295763984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 145 counting only the distinct ones).

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

The cubic root of 5295763984 is about 1743.0487774181.

The spelling of 5295763984 in words is "five billion, two hundred ninety-five million, seven hundred sixty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 113 161 184 196 226 322 368 392 452 529 644 784 791 904 1058 1127 1288 1582 1808 2116 2254 2576 2599 3164 3703 4232 4508 5198 5537 6328 7406 8464 9016 10396 11074 12656 12769 14812 18032 18193 20792 22148 25538 25921 29624 36386 41584 44296 51076 51842 59248 59777 72772 88592 89383 102152 103684 119554 127351 145544 178766 204304 207368 239108 254702 291088 293687 357532 414736 418439 478216 509404 587374 625681 715064 836878 956432 1018808 1174748 1251362 1430128 1673756 2037616 2055809 2349496 2502724 2929073 3347512 4111618 4698992 5005448 5858146 6695024 6754801 8223236 10010896 11716292 13509602 14390663 16446472 23432584 27019204 28781326 32892944 46865168 47283607 54038408 57562652 94567214 108076816 115125304 189134428 230250608 330985249 378268856 661970498 756537712 1323940996 2647881992 5295763984