Search a number
-
+
47048148 = 2233762233
BaseRepresentation
bin1011001101111…
…0010111010100
310021112021221000
42303132113110
544021020043
64400223300
71110621420
oct263362724
9107467830
1047048148
1124614a74
121390ab30
139993954
146369b80
1541e52d3
hex2cde5d4

47048148 has 48 divisors (see below), whose sum is σ = 139404160. Its totient is φ = 13442112.

The previous prime is 47048143. The next prime is 47048167. The reversal of 47048148 is 84184074.

It is a happy number.

47048148 is a `hidden beast` number, since 470 + 48 + 148 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47048143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30361 + ... + 31872.

Almost surely, 247048148 is an apocalyptic number.

It is an amenable number.

47048148 is an abundant number, since it is smaller than the sum of its proper divisors (92356012).

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

47048148 is a wasteful number, since it uses less digits than its factorization.

47048148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62253 (or 62245 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 47048148 is about 6859.1652553354. The cubic root of 47048148 is about 361.0057984095.

The spelling of 47048148 in words is "forty-seven million, forty-eight thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 62233 124466 186699 248932 373398 435631 560097 746796 871262 1120194 1306893 1680291 1742524 2240388 2613786 3360582 3920679 5227572 6721164 7841358 11762037 15682716 23524074 47048148