Search a number
-
+
53008368 = 2437791997
BaseRepresentation
bin1100101000110…
…1011111110000
310200202002210220
43022031133300
5102032231433
65132053040
71212364230
oct312153760
9120662726
1053008368
1127a15a76
1215904180
13ac9c7ca
14707bcc0
1549c12b3
hex328d7f0

53008368 has 80 divisors (see below), whose sum is σ = 158561280. Its totient is φ = 14946048.

The previous prime is 53008343. The next prime is 53008369. The reversal of 53008368 is 86380035.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53008369) 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, 25546 + ... + 27542.

It is an arithmetic number, because the mean of its divisors is an integer number (1982016).

Almost surely, 253008368 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 53008368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79280640).

53008368 is an abundant number, since it is smaller than the sum of its proper divisors (105552912).

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

53008368 is a wasteful number, since it uses less digits than its factorization.

53008368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 53008368 is about 7280.6845831968. The cubic root of 53008368 is about 375.6483433121.

The spelling of 53008368 in words is "fifty-three million, eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 79 84 112 158 168 237 316 336 474 553 632 948 1106 1264 1659 1896 1997 2212 3318 3792 3994 4424 5991 6636 7988 8848 11982 13272 13979 15976 23964 26544 27958 31952 41937 47928 55916 83874 95856 111832 157763 167748 223664 315526 335496 473289 631052 670992 946578 1104341 1262104 1893156 2208682 2524208 3313023 3786312 4417364 6626046 7572624 8834728 13252092 17669456 26504184 53008368