Search a number
-
+
47291136 = 283139443
BaseRepresentation
bin1011010001100…
…1101100000000
310021222122020120
42310121230000
544101304021
64405340240
71112653014
oct264315400
9107878216
1047291136
1124770592
1213a07680
139a4a429
1463d0544
1542422c6
hex2d19b00

47291136 has 72 divisors (see below), whose sum is σ = 127055040. Its totient is φ = 15614976.

The previous prime is 47291113. The next prime is 47291149. The reversal of 47291136 is 63119274.

It is a junction number, because it is equal to n+sod(n) for n = 47291097 and 47291106.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106531 + ... + 106973.

Almost surely, 247291136 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 47291136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63527520).

47291136 is an abundant number, since it is smaller than the sum of its proper divisors (79763904).

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

47291136 is a wasteful number, since it uses less digits than its factorization.

47291136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 587 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 47291136 is about 6876.8550951725. The cubic root of 47291136 is about 361.6262230702.

The spelling of 47291136 in words is "forty-seven million, two hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 443 556 768 834 886 1112 1329 1668 1772 2224 2658 3336 3544 4448 5316 6672 7088 8896 10632 13344 14176 17792 21264 26688 28352 35584 42528 53376 56704 61577 85056 106752 113408 123154 170112 184731 246308 340224 369462 492616 738924 985232 1477848 1970464 2955696 3940928 5911392 7881856 11822784 15763712 23645568 47291136