[go: up one dir, main page]

Search a number
-
+
52747968 = 2637133019
BaseRepresentation
bin1100100100110…
…1111011000000
310200020212121110
43021031323000
5102000413333
65122323320
71210231110
oct311157300
9120225543
1052747968
1127858369
12157b9540
13ac0b120
147011040
15496e063
hex324dec0

52747968 has 112 divisors (see below), whose sum is σ = 171825920. Its totient is φ = 13906944.

The previous prime is 52747949. The next prime is 52747973. The reversal of 52747968 is 86974725.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 15963 + ... + 18981.

It is an arithmetic number, because the mean of its divisors is an integer number (1534160).

Almost surely, 252747968 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 52747968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85912960).

52747968 is an abundant number, since it is smaller than the sum of its proper divisors (119077952).

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

52747968 is a wasteful number, since it uses less digits than its factorization.

52747968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3054 (or 3044 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 52747968 is about 7262.7796331708. The cubic root of 52747968 is about 375.0322176764.

The spelling of 52747968 in words is "fifty-two million, seven hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 156 168 182 192 208 224 273 312 336 364 416 448 546 624 672 728 832 1092 1248 1344 1456 2184 2496 2912 3019 4368 5824 6038 8736 9057 12076 17472 18114 21133 24152 36228 39247 42266 48304 63399 72456 78494 84532 96608 117741 126798 144912 156988 169064 193216 235482 253596 274729 289824 313976 338128 470964 507192 549458 579648 627952 676256 824187 941928 1014384 1098916 1255904 1352512 1648374 1883856 2028768 2197832 2511808 3296748 3767712 4057536 4395664 6593496 7535424 8791328 13186992 17582656 26373984 52747968