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48785880 = 233511132843
BaseRepresentation
bin1011101000011…
…0100111011000
310101210120122110
42322012213120
544442122010
64501352320
71131446613
oct272064730
9111716573
1048785880
11255a1610
12144086a0
13a1518b0
14669d17a
15443a120
hex2e869d8

48785880 has 128 divisors (see below), whose sum is σ = 172005120. Its totient is φ = 10913280.

The previous prime is 48785873. The next prime is 48785899. The reversal of 48785880 is 8858784.

48785880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 15739 + ... + 18581.

It is an arithmetic number, because the mean of its divisors is an integer number (1343790).

Almost surely, 248785880 is an apocalyptic number.

48785880 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 48785880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86002560).

48785880 is an abundant number, since it is smaller than the sum of its proper divisors (123219240).

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

48785880 is a wasteful number, since it uses less digits than its factorization.

48785880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 48.

The square root of 48785880 is about 6984.6889694531. The cubic root of 48785880 is about 365.3967787527.

The spelling of 48785880 in words is "forty-eight million, seven hundred eighty-five thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 195 220 260 264 286 312 330 390 429 440 520 572 660 715 780 858 1144 1320 1430 1560 1716 2145 2843 2860 3432 4290 5686 5720 8529 8580 11372 14215 17058 17160 22744 28430 31273 34116 36959 42645 56860 62546 68232 73918 85290 93819 110877 113720 125092 147836 156365 170580 184795 187638 221754 250184 295672 312730 341160 369590 375276 406549 443508 469095 554385 625460 739180 750552 813098 887016 938190 1108770 1219647 1250920 1478360 1626196 1876380 2032745 2217540 2439294 3252392 3752760 4065490 4435080 4878588 6098235 8130980 9757176 12196470 16261960 24392940 48785880