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47868220 = 225191031223
BaseRepresentation
bin1011011010011…
…0100100111100
310100001221212001
42312212210330
544223240340
64425552044
71120605331
oct266464474
9110057761
1047868220
1125025114
1214045624
139bbccba
146500988
15430829a
hex2da693c

47868220 has 48 divisors (see below), whose sum is σ = 106928640. Its totient is φ = 17948736.

The previous prime is 47868203. The next prime is 47868251. The reversal of 47868220 is 2286874.

47868220 is a nontrivial binomial coefficient, being equal to C(9785, 2).

It is a self number, because there is not a number n which added to its sum of digits gives 47868220.

It is a congruent number.

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, 38529 + ... + 39751.

It is an arithmetic number, because the mean of its divisors is an integer number (2227680).

Almost surely, 247868220 is an apocalyptic number.

47868220 is the 9784-th triangular number.

47868220 is the 3262-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47868220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53464320).

47868220 is an abundant number, since it is smaller than the sum of its proper divisors (59060420).

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

47868220 is a wasteful number, since it uses less digits than its factorization.

47868220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 47868220 is about 6918.6862914863. The cubic root of 47868220 is about 363.0912301972.

The spelling of 47868220 in words is "forty-seven million, eight hundred sixty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 103 190 206 380 412 515 1030 1223 1957 2060 2446 3914 4892 6115 7828 9785 12230 19570 23237 24460 39140 46474 92948 116185 125969 232370 251938 464740 503876 629845 1259690 2393411 2519380 4786822 9573644 11967055 23934110 47868220