Search a number
-
+
5253217524 = 2233378914771
BaseRepresentation
bin1001110010001110…
…11011110011110100
3111120002212002201000
410321013123303310
541224310430044
62225134403300
7244115416662
oct47107336364
914502762630
105253217524
112256339095
121027360530
13659459949
1437b977c32
1520b2c3d69
hex1391dbcf4

5253217524 has 96 divisors (see below), whose sum is σ = 14145667200. Its totient is φ = 1684488960.

The previous prime is 5253217511. The next prime is 5253217531. The reversal of 5253217524 is 4257123525.

5253217524 is a `hidden beast` number, since 52 + 532 + 1 + 75 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348259 + ... + 363029.

It is an arithmetic number, because the mean of its divisors is an integer number (147350700).

Almost surely, 25253217524 is an apocalyptic number.

5253217524 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5253217524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7072833600).

5253217524 is an abundant number, since it is smaller than the sum of its proper divisors (8892449676).

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

5253217524 is a wasteful number, since it uses less digits than its factorization.

5253217524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14910 (or 14902 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 5253217524 is about 72479.0833551308. The cubic root of 5253217524 is about 1738.3683038763.

The spelling of 5253217524 in words is "five billion, two hundred fifty-three million, two hundred seventeen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 89 108 111 148 178 222 267 333 356 444 534 666 801 999 1068 1332 1602 1998 2403 3204 3293 3996 4806 6586 9612 9879 13172 14771 19758 29542 29637 39516 44313 59084 59274 88626 88911 118548 132939 177252 177822 265878 355644 398817 531756 546527 797634 1093054 1314619 1595268 1639581 2186108 2629238 3279162 3943857 4918743 5258476 6558324 7887714 9837486 11831571 14756229 15775428 19674972 23663142 29512458 35494713 47326284 48640903 59024916 70989426 97281806 141978852 145922709 194563612 291845418 437768127 583690836 875536254 1313304381 1751072508 2626608762 5253217524