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47979828 = 223213157653
BaseRepresentation
bin1011011100000…
…1110100110100
310100021121221200
42313001310310
544240323303
64432212500
71121551611
oct267016464
9110247850
1047979828
11250a0a56
121409a130
139c2ba40
14652d508
15432b3a3
hex2dc1d34

47979828 has 72 divisors (see below), whose sum is σ = 131644968. Its totient is φ = 14646528.

The previous prime is 47979823. The next prime is 47979829. The reversal of 47979828 is 82897974.

47979828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 121104 + 47858724 = 348^2 + 6918^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47979821) 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 23 ways as a sum of consecutive naturals, for example, 73150 + ... + 73802.

Almost surely, 247979828 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 47979828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65822484).

47979828 is an abundant number, since it is smaller than the sum of its proper divisors (83665140).

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

47979828 is a wasteful number, since it uses less digits than its factorization.

47979828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 833 (or 828 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 47979828 is about 6926.7472885908. The cubic root of 47979828 is about 363.3732017712.

The spelling of 47979828 in words is "forty-seven million, nine hundred seventy-nine thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 157 234 314 468 471 628 653 942 1306 1413 1884 1959 2041 2612 2826 3918 4082 5652 5877 6123 7836 8164 8489 11754 12246 16978 18369 23508 24492 25467 33956 36738 50934 73476 76401 101868 102521 152802 205042 305604 307563 410084 615126 922689 1230252 1332773 1845378 2665546 3690756 3998319 5331092 7996638 11994957 15993276 23989914 47979828