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4786008090 = 235374439733
BaseRepresentation
bin1000111010100010…
…01011000000011010
3110100112201101211220
410131101023000122
534300204224330
62110524432510
7226413253233
oct43521130032
913315641756
104786008090
112036638796
12b169a8736
135b3715a66
143358ba08a
151d0286710
hex11d44b01a

4786008090 has 64 divisors (see below), whose sum is σ = 11824707456. Its totient is φ = 1238844672.

The previous prime is 4786008047. The next prime is 4786008091. The reversal of 4786008090 is 908006874.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (4786008091) 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 31 ways as a sum of consecutive naturals, for example, 486864 + ... + 496596.

It is an arithmetic number, because the mean of its divisors is an integer number (184761054).

Almost surely, 24786008090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4786008090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5912353728).

4786008090 is an abundant number, since it is smaller than the sum of its proper divisors (7038699366).

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

4786008090 is a wasteful number, since it uses less digits than its factorization.

4786008090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10223.

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 4786008090 is about 69180.9806955640. The cubic root of 4786008090 is about 1685.2246751394.

The spelling of 4786008090 in words is "four billion, seven hundred eighty-six million, eight thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 443 555 886 1110 1329 2215 2658 4430 6645 9733 13290 16391 19466 29199 32782 48665 49173 58398 81955 97330 98346 145995 163910 245865 291990 360121 491730 720242 1080363 1800605 2160726 3601210 4311719 5401815 8623438 10803630 12935157 21558595 25870314 43117190 64675785 129351570 159533603 319067206 478600809 797668015 957201618 1595336030 2393004045 4786008090