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47121336 = 23321933391
BaseRepresentation
bin1011001111000…
…0001110111000
310021200000022200
42303300032320
544030340321
64401550200
71111344663
oct263601670
9107600280
1047121336
1124664a59
1213945360
1399bb062
1463886da
15420bd26
hex2cf03b8

47121336 has 48 divisors (see below), whose sum is σ = 128319360. Its totient is φ = 15621120.

The previous prime is 47121329. The next prime is 47121337. The reversal of 47121336 is 63312174.

47121336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47121337) 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 11 ways as a sum of consecutive naturals, for example, 12201 + ... + 15591.

It is an arithmetic number, because the mean of its divisors is an integer number (2673320).

Almost surely, 247121336 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 47121336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64159680).

47121336 is an abundant number, since it is smaller than the sum of its proper divisors (81198024).

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

47121336 is a wasteful number, since it uses less digits than its factorization.

47121336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596 (or 3589 counting only the distinct ones).

The product of its digits is 3024, while the sum is 27.

The square root of 47121336 is about 6864.4982336657. The cubic root of 47121336 is about 361.1928947142.

The spelling of 47121336 in words is "forty-seven million, one hundred twenty-one thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 193 386 579 772 1158 1544 1737 2316 3391 3474 4632 6782 6948 10173 13564 13896 20346 27128 30519 40692 61038 81384 122076 244152 654463 1308926 1963389 2617852 3926778 5235704 5890167 7853556 11780334 15707112 23560668 47121336