Search a number
-
+
47794992 = 243732903
BaseRepresentation
bin1011011001010…
…0101100110000
310022221020101220
42312110230300
544213414432
64424225040
71120152000
oct266245460
9108836356
1047794992
1124a850a3
121400b180
139b9587b
1464c2000
1542e172c
hex2d94b30

47794992 has 80 divisors (see below), whose sum is σ = 144038400. Its totient is φ = 13651008.

The previous prime is 47794991. The next prime is 47794993. The reversal of 47794992 is 29949774.

It is an interprime number because it is at equal distance from previous prime (47794991) and next prime (47794993).

It is a super-2 number, since 2×477949922 = 4568722520560128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47794991) 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, 15013 + ... + 17915.

It is an arithmetic number, because the mean of its divisors is an integer number (1800480).

Almost surely, 247794992 is an apocalyptic number.

47794992 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47794992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72019200).

47794992 is an abundant number, since it is smaller than the sum of its proper divisors (96243408).

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

47794992 is a wasteful number, since it uses less digits than its factorization.

47794992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2935 (or 2915 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 51.

The square root of 47794992 is about 6913.3922209000. The cubic root of 47794992 is about 362.9059854125.

The spelling of 47794992 in words is "forty-seven million, seven hundred ninety-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 343 392 588 686 784 1029 1176 1372 2058 2352 2744 2903 4116 5488 5806 8232 8709 11612 16464 17418 20321 23224 34836 40642 46448 60963 69672 81284 121926 139344 142247 162568 243852 284494 325136 426741 487704 568988 853482 975408 995729 1137976 1706964 1991458 2275952 2987187 3413928 3982916 5974374 6827856 7965832 11948748 15931664 23897496 47794992