Search a number
-
+
4959974272 = 27118939581
BaseRepresentation
bin1001001111010001…
…10011001110000000
3110210200001210120211
410213220303032000
540124223134042
62140101243504
7233625041251
oct44750631600
913720053524
104959974272
11211585a0a0
12b65103594
13610786426
14350a42b28
151e069c017
hex127a33380

4959974272 has 64 divisors (see below), whose sum is σ = 10900882800. Its totient is φ = 2229145600.

The previous prime is 4959974267. The next prime is 4959974287. The reversal of 4959974272 is 2724799594.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105522 + ... + 145102.

Almost surely, 24959974272 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 4959974272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450441400).

4959974272 is an abundant number, since it is smaller than the sum of its proper divisors (5940908528).

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

4959974272 is a wasteful number, since it uses less digits than its factorization.

4959974272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39695 (or 39683 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 58.

The square root of 4959974272 is about 70427.0847898733. The cubic root of 4959974272 is about 1705.4008479530.

The spelling of 4959974272 in words is "four billion, nine hundred fifty-nine million, nine hundred seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 89 128 176 178 352 356 704 712 979 1408 1424 1958 2848 3916 5696 7832 11392 15664 31328 39581 62656 79162 125312 158324 316648 435391 633296 870782 1266592 1741564 2533184 3483128 3522709 5066368 6966256 7045418 13932512 14090836 27865024 28181672 38749799 55730048 56363344 77499598 112726688 154999196 225453376 309998392 450906752 619996784 1239993568 2479987136 4959974272