Search a number
-
+
49238160 = 24351931063
BaseRepresentation
bin1011101111010…
…1000010010000
310102122120001120
42323311002100
5100101110120
64515202240
71135342326
oct273650220
9112576046
1049238160
11258803a4
12145a6380
13a27c70a
146779d16
1544c9140
hex2ef5090

49238160 has 80 divisors (see below), whose sum is σ = 153573504. Its totient is φ = 13049856.

The previous prime is 49238149. The next prime is 49238197. The reversal of 49238160 is 6183294.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

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, 45789 + ... + 46851.

Almost surely, 249238160 is an apocalyptic number.

49238160 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 49238160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76786752).

49238160 is an abundant number, since it is smaller than the sum of its proper divisors (104335344).

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

49238160 is a wasteful number, since it uses less digits than its factorization.

49238160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1266 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 49238160 is about 7016.9908080316. The cubic root of 49238160 is about 366.5224703895.

The spelling of 49238160 in words is "forty-nine million, two hundred thirty-eight thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 193 240 386 579 772 965 1063 1158 1544 1930 2126 2316 2895 3088 3189 3860 4252 4632 5315 5790 6378 7720 8504 9264 10630 11580 12756 15440 15945 17008 21260 23160 25512 31890 42520 46320 51024 63780 85040 127560 205159 255120 410318 615477 820636 1025795 1230954 1641272 2051590 2461908 3077385 3282544 4103180 4923816 6154770 8206360 9847632 12309540 16412720 24619080 49238160