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52849480 = 2355397257
BaseRepresentation
bin1100100110011…
…0101101001000
310200110000212011
43021212231020
5102012140410
65124425304
71211133055
oct311465510
9120400764
1052849480
1127917662
1215848234
13ac453a8
14703a02c
15498e18a
hex3266b48

52849480 has 64 divisors (see below), whose sum is σ = 122880240. Its totient is φ = 20447232.

The previous prime is 52849477. The next prime is 52849483. The reversal of 52849480 is 8494825.

It is an interprime number because it is at equal distance from previous prime (52849477) and next prime (52849483).

It can be written as a sum of positive squares in 8 ways, for example, as 43375396 + 9474084 = 6586^2 + 3078^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (52849483) 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, 205512 + ... + 205768.

Almost surely, 252849480 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 52849480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61440120).

52849480 is an abundant number, since it is smaller than the sum of its proper divisors (70030760).

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

52849480 is a wasteful number, since it uses less digits than its factorization.

52849480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 52849480 is about 7269.7647829899. The cubic root of 52849480 is about 375.2726432086.

The spelling of 52849480 in words is "fifty-two million, eight hundred forty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 53 97 106 194 212 257 265 388 424 485 514 530 776 970 1028 1060 1285 1940 2056 2120 2570 3880 5140 5141 10280 10282 13621 20564 24929 25705 27242 41128 49858 51410 54484 68105 99716 102820 108968 124645 136210 199432 205640 249290 272420 498580 544840 997160 1321237 2642474 5284948 6606185 10569896 13212370 26424740 52849480