Search a number
-
+
47869052 = 22711271199
BaseRepresentation
bin1011011010011…
…0110001111100
310100001222222212
42312212301330
544223302202
64425555552
71120610630
oct266466174
9110058885
1047869052
1125025800
1214045bb8
139bc04aa
146500dc0
154308652
hex2da6c7c

47869052 has 72 divisors (see below), whose sum is σ = 107251200. Its totient is φ = 18295200.

The previous prime is 47869043. The next prime is 47869057. The reversal of 47869052 is 25096874.

It is a super-2 number, since 2×478690522 = 4582892278757408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47869057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240449 + ... + 240647.

It is an arithmetic number, because the mean of its divisors is an integer number (1489600).

Almost surely, 247869052 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 47869052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53625600).

47869052 is an abundant number, since it is smaller than the sum of its proper divisors (59382148).

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

47869052 is a wasteful number, since it uses less digits than its factorization.

47869052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 47869052 is about 6918.7464182466. The cubic root of 47869052 is about 363.0933338208.

The spelling of 47869052 in words is "forty-seven million, eight hundred sixty-nine thousand, fifty-two".

Divisors: 1 2 4 7 11 14 22 28 44 71 77 121 142 154 199 242 284 308 398 484 497 781 796 847 994 1393 1562 1694 1988 2189 2786 3124 3388 4378 5467 5572 8591 8756 10934 14129 15323 17182 21868 24079 28258 30646 34364 48158 56516 60137 61292 96316 98903 120274 155419 168553 197806 240548 310838 337106 395612 621676 674212 1087933 1709609 2175866 3419218 4351732 6838436 11967263 23934526 47869052