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4878451152 = 24343123917
BaseRepresentation
bin1001000101100011…
…10100000111010000
3110120222122222220000
410202301310013100
534442340414102
62124030050000
7231615102441
oct44261640720
913528588800
104878451152
112083838613
12b41949900
135c99119b3
14343ca12c8
151d844701c
hex122c741d0

4878451152 has 150 divisors (see below), whose sum is σ = 14593543074. Its totient is φ = 1573292160.

The previous prime is 4878451141. The next prime is 4878451159. The reversal of 4878451152 is 2511548784.

4878451152 is a `hidden beast` number, since 4 + 8 + 7 + 84 + 511 + 52 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4634341776 + 244109376 = 68076^2 + 15624^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4878451098 and 4878451107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4878451159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1243498 + ... + 1247414.

Almost surely, 24878451152 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 4878451152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7296771537).

4878451152 is an abundant number, since it is smaller than the sum of its proper divisors (9715091922).

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

4878451152 is a wasteful number, since it uses less digits than its factorization.

4878451152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3953 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 4878451152 is about 69845.9100592153. The cubic root of 4878451152 is about 1696.0057497283.

The spelling of 4878451152 in words is "four billion, eight hundred seventy-eight million, four hundred fifty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 81 93 108 124 144 162 186 216 248 279 324 372 432 496 558 648 744 837 961 1116 1296 1488 1674 1922 2232 2511 2883 3348 3844 3917 4464 5022 5766 6696 7688 7834 8649 10044 11532 11751 13392 15376 15668 17298 20088 23064 23502 25947 31336 34596 35253 40176 46128 47004 51894 62672 69192 70506 77841 94008 103788 105759 121427 138384 141012 155682 188016 207576 211518 242854 282024 311364 317277 364281 415152 423036 485708 564048 622728 634554 728562 846072 971416 1092843 1245456 1269108 1457124 1692144 1942832 2185686 2538216 2914248 3278529 3764237 4371372 5076432 5828496 6557058 7528474 8742744 9835587 11292711 13114116 15056948 17485488 19671174 22585422 26228232 30113896 33878133 39342348 45170844 52456464 60227792 67756266 78684696 90341688 101634399 135512532 157369392 180683376 203268798 271025064 304903197 406537596 542050128 609806394 813075192 1219612788 1626150384 2439225576 4878451152