Search a number
-
+
47552040 = 23325235743
BaseRepresentation
bin1011010101100…
…1011000101000
310022110220010200
42311121120220
544133131130
64415112200
71115120454
oct265313050
9108426120
1047552040
1124929608
1213b12660
139b0c103
14645b664
154294760
hex2d59628

47552040 has 96 divisors (see below), whose sum is σ = 161291520. Its totient is φ = 12127104.

The previous prime is 47552027. The next prime is 47552051. The reversal of 47552040 is 4025574.

It is a super-2 number, since 2×475520402 = 4522393016323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47551995 and 47552013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5409 + ... + 11151.

It is an arithmetic number, because the mean of its divisors is an integer number (1680120).

Almost surely, 247552040 is an apocalyptic number.

47552040 is a gapful number since it is divisible by the number (40) 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 47552040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80645760).

47552040 is an abundant number, since it is smaller than the sum of its proper divisors (113739480).

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

47552040 is a wasteful number, since it uses less digits than its factorization.

47552040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5783 (or 5776 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 47552040 is about 6895.7987209605. The cubic root of 47552040 is about 362.2900313972.

The spelling of 47552040 in words is "forty-seven million, five hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 5743 8280 11486 17229 22972 28715 34458 45944 51687 57430 68916 86145 103374 114860 132089 137832 172290 206748 229720 258435 264178 344580 396267 413496 516870 528356 660445 689160 792534 1033740 1056712 1188801 1320890 1585068 1981335 2067480 2377602 2641780 3170136 3962670 4755204 5283560 5944005 7925340 9510408 11888010 15850680 23776020 47552040