Search a number
-
+
49149280 = 255833701
BaseRepresentation
bin1011101101111…
…1010101100000
310102111001010201
42323133111200
5100040234110
64513234544
71134522235
oct273372540
9112431121
1049149280
112581a644
1214562a54
13a24b11b
14675578c
1544acb3a
hex2edf560

49149280 has 48 divisors (see below), whose sum is σ = 117545904. Its totient is φ = 19417600.

The previous prime is 49149277. The next prime is 49149307. The reversal of 49149280 is 8294194.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11430 + ... + 15130.

It is an arithmetic number, because the mean of its divisors is an integer number (2448873).

Almost surely, 249149280 is an apocalyptic number.

49149280 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 49149280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58772952).

49149280 is an abundant number, since it is smaller than the sum of its proper divisors (68396624).

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

49149280 is a wasteful number, since it uses less digits than its factorization.

49149280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3799 (or 3791 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 49149280 is about 7010.6547483099. The cubic root of 49149280 is about 366.3018004986.

The spelling of 49149280 in words is "forty-nine million, one hundred forty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2656 3320 3701 6640 7402 13280 14804 18505 29608 37010 59216 74020 118432 148040 296080 307183 592160 614366 1228732 1535915 2457464 3071830 4914928 6143660 9829856 12287320 24574640 49149280