Search a number
-
+
49466520 = 23325313439
BaseRepresentation
bin1011110010110…
…0110010011000
310110002011022100
42330230302120
5100130412040
64524123400
71140313155
oct274546230
9113064270
1049466520
1125a16a24
1214696560
13a32c63c
1467d922c
154521b30
hex2f2cc98

49466520 has 96 divisors (see below), whose sum is σ = 161647200. Its totient is φ = 13118976.

The previous prime is 49466497. The next prime is 49466531. The reversal of 49466520 is 2566494.

49466520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112461 + ... + 112899.

It is an arithmetic number, because the mean of its divisors is an integer number (1683825).

Almost surely, 249466520 is an apocalyptic number.

49466520 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 49466520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80823600).

49466520 is an abundant number, since it is smaller than the sum of its proper divisors (112180680).

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

49466520 is a wasteful number, since it uses less digits than its factorization.

49466520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 49466520 is about 7033.2439172831. The cubic root of 49466520 is about 367.0882240562.

The spelling of 49466520 in words is "forty-nine million, four hundred sixty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 313 360 439 626 878 939 1252 1317 1565 1756 1878 2195 2504 2634 2817 3130 3512 3756 3951 4390 4695 5268 5634 6260 6585 7512 7902 8780 9390 10536 11268 12520 13170 14085 15804 17560 18780 19755 22536 26340 28170 31608 37560 39510 52680 56340 79020 112680 137407 158040 274814 412221 549628 687035 824442 1099256 1236663 1374070 1648884 2061105 2473326 2748140 3297768 4122210 4946652 5496280 6183315 8244420 9893304 12366630 16488840 24733260 49466520