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48779940 = 22351126719
BaseRepresentation
bin1011101000010…
…1001010100100
310101210021111110
42322011022210
544441424230
64501305020
71131423366
oct272051244
9111707443
1048779940
1125598100
1214405170
13a14bc91
14669ad36
1544384b0
hex2e852a4

48779940 has 72 divisors (see below), whose sum is σ = 150151680. Its totient is φ = 11823680.

The previous prime is 48779933. The next prime is 48779999. The reversal of 48779940 is 4997784.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 48779940.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3901 + ... + 10619.

It is an arithmetic number, because the mean of its divisors is an integer number (2085440).

Almost surely, 248779940 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 48779940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75075840).

48779940 is an abundant number, since it is smaller than the sum of its proper divisors (101371740).

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

48779940 is a wasteful number, since it uses less digits than its factorization.

48779940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6753 (or 6740 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 48779940 is about 6984.2637407246. The cubic root of 48779940 is about 365.3819483348.

The spelling of 48779940 in words is "forty-eight million, seven hundred seventy-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 6719 7260 13438 20157 26876 33595 40314 67190 73909 80628 100785 134380 147818 201570 221727 295636 369545 403140 443454 739090 812999 886908 1108635 1478180 1625998 2217270 2438997 3251996 4064995 4434540 4877994 8129990 9755988 12194985 16259980 24389970 48779940