Search a number
-
+
47818272 = 2531493343
BaseRepresentation
bin1011011001101…
…0011000100000
310022222102100010
42312122120200
544220141042
64424524520
71120306605
oct266323040
9108872303
1047818272
1124aa0637
1214020740
139ba3348
1464ca6ac
1542e859c
hex2d9a620

47818272 has 48 divisors (see below), whose sum is σ = 126403200. Its totient is φ = 15827712.

The previous prime is 47818271. The next prime is 47818273. The reversal of 47818272 is 27281874.

It is an interprime number because it is at equal distance from previous prime (47818271) and next prime (47818273).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47818272.

It is not an unprimeable number, because it can be changed into a prime (47818271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12633 + ... + 15975.

It is an arithmetic number, because the mean of its divisors is an integer number (2633400).

Almost surely, 247818272 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 47818272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63201600).

47818272 is an abundant number, since it is smaller than the sum of its proper divisors (78584928).

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

47818272 is a wasteful number, since it uses less digits than its factorization.

47818272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3497 counting only the distinct ones).

The product of its digits is 50176, while the sum is 39.

The square root of 47818272 is about 6915.0757045748. The cubic root of 47818272 is about 362.9648973031.

The spelling of 47818272 in words is "forty-seven million, eight hundred eighteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 596 894 1192 1788 2384 3343 3576 4768 6686 7152 10029 13372 14304 20058 26744 40116 53488 80232 106976 160464 320928 498107 996214 1494321 1992428 2988642 3984856 5977284 7969712 11954568 15939424 23909136 47818272