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47868804 = 223217243107
BaseRepresentation
bin1011011010011…
…0101110000100
310100001222122200
42312212232010
544223300204
64425554500
71120610124
oct266465604
9110058580
1047868804
11250255a5
1214045a30
139bc0349
146500c84
154308539
hex2da6b84

47868804 has 108 divisors (see below), whose sum is σ = 132756624. Its totient is φ = 14531328.

The previous prime is 47868797. The next prime is 47868811. The reversal of 47868804 is 40886874.

47868804 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (47868797) and next prime (47868811).

It is a self number, because there is not a number n which added to its sum of digits gives 47868804.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 447319 + ... + 447425.

It is an arithmetic number, because the mean of its divisors is an integer number (1229228).

Almost surely, 247868804 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 47868804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66378312).

47868804 is an abundant number, since it is smaller than the sum of its proper divisors (84887820).

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

47868804 is a wasteful number, since it uses less digits than its factorization.

47868804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 47868804 is about 6918.7284959015. The cubic root of 47868804 is about 363.0927067817.

The spelling of 47868804 in words is "forty-seven million, eight hundred sixty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 102 107 129 153 172 204 214 258 289 306 321 387 428 516 578 612 642 731 774 867 963 1156 1284 1462 1548 1734 1819 1926 2193 2601 2924 3468 3638 3852 4386 4601 5202 5457 6579 7276 8772 9202 10404 10914 12427 13158 13803 16371 18404 21828 24854 26316 27606 30923 32742 37281 41409 49708 55212 61846 65484 74562 78217 82818 92769 111843 123692 149124 156434 165636 185538 223686 234651 278307 312868 371076 447372 469302 556614 703953 938604 1113228 1329689 1407906 2659378 2815812 3989067 5318756 7978134 11967201 15956268 23934402 47868804