Search a number
-
+
53551008 = 25327101263
BaseRepresentation
bin1100110001000…
…1111110100000
310201202200011200
43030101332200
5102202113013
65151441200
71220114250
oct314217640
9121680150
1053551008
1128256735
1215b26200
13b12c7b4
14717d960
154a7be73
hex3311fa0

53551008 has 144 divisors (see below), whose sum is σ = 176432256. Its totient is φ = 15091200.

The previous prime is 53550989. The next prime is 53551009. The reversal of 53551008 is 80015535.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (53551009) 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, 203485 + ... + 203747.

It is an arithmetic number, because the mean of its divisors is an integer number (1225224).

Almost surely, 253551008 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 53551008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88216128).

53551008 is an abundant number, since it is smaller than the sum of its proper divisors (122881248).

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

53551008 is a wasteful number, since it uses less digits than its factorization.

53551008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 53551008 is about 7317.8554235514. The cubic root of 53551008 is about 376.9258156936.

The spelling of 53551008 in words is "fifty-three million, five hundred fifty-one thousand, eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 101 112 126 144 168 202 224 252 263 288 303 336 404 504 526 606 672 707 789 808 909 1008 1052 1212 1414 1578 1616 1818 1841 2016 2104 2121 2367 2424 2828 3156 3232 3636 3682 4208 4242 4734 4848 5523 5656 6312 6363 7272 7364 8416 8484 9468 9696 11046 11312 12624 12726 14544 14728 16569 16968 18936 22092 22624 25248 25452 26563 29088 29456 33138 33936 37872 44184 50904 53126 58912 66276 67872 75744 79689 88368 101808 106252 132552 159378 176736 185941 203616 212504 239067 265104 318756 371882 425008 478134 530208 557823 637512 743764 850016 956268 1115646 1275024 1487528 1673469 1912536 2231292 2550048 2975056 3346938 3825072 4462584 5950112 6693876 7650144 8925168 13387752 17850336 26775504 53551008