Search a number
-
+
55757376 = 263341787
BaseRepresentation
bin1101010010110…
…0101001000000
310212220202202000
43110230221000
5103233214001
65311024000
71244633643
oct324545100
9125822660
1055757376
1129523384
121680b000
13b722b3c
147595a5a
154d65a86
hex352ca40

55757376 has 112 divisors (see below), whose sum is σ = 168127680. Its totient is φ = 18109440.

The previous prime is 55757363. The next prime is 55757389. The reversal of 55757376 is 67375755.

55757376 is a `hidden beast` number, since 5 + 5 + 7 + 573 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (55757363) and next prime (55757389).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70455 + ... + 71241.

It is an arithmetic number, because the mean of its divisors is an integer number (1501140).

Almost surely, 255757376 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 55757376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84063840).

55757376 is an abundant number, since it is smaller than the sum of its proper divisors (112370304).

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

55757376 is a wasteful number, since it uses less digits than its factorization.

55757376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 833 counting only the distinct ones).

The product of its digits is 771750, while the sum is 45.

The square root of 55757376 is about 7467.0861786911. The cubic root of 55757376 is about 382.0329092743.

The spelling of 55757376 in words is "fifty-five million, seven hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 144 164 192 216 246 288 328 369 432 492 576 656 738 787 864 984 1107 1312 1476 1574 1728 1968 2214 2361 2624 2952 3148 3936 4428 4722 5904 6296 7083 7872 8856 9444 11808 12592 14166 17712 18888 21249 23616 25184 28332 32267 35424 37776 42498 50368 56664 64534 70848 75552 84996 96801 113328 129068 151104 169992 193602 226656 258136 290403 339984 387204 453312 516272 580806 679968 774408 871209 1032544 1161612 1359936 1548816 1742418 2065088 2323224 3097632 3484836 4646448 6195264 6969672 9292896 13939344 18585792 27878688 55757376