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48833820 = 22335712919
BaseRepresentation
bin1011101001001…
…0010100011100
310101220000102000
42322102110130
5100000140240
64502402300
71132036440
oct272222434
9111800360
1048833820
1125624632
1214430390
13a16a669
1466b2820
154449430
hex2e9251c

48833820 has 96 divisors (see below), whose sum is σ = 173644800. Its totient is φ = 11161152.

The previous prime is 48833801. The next prime is 48833831. The reversal of 48833820 is 2833884.

It is a happy number.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2680 + ... + 10239.

It is an arithmetic number, because the mean of its divisors is an integer number (1808800).

Almost surely, 248833820 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 48833820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86822400).

48833820 is an abundant number, since it is smaller than the sum of its proper divisors (124810980).

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

48833820 is a wasteful number, since it uses less digits than its factorization.

48833820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12944 (or 12936 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 48833820 is about 6988.1199188337. The cubic root of 48833820 is about 365.5164266707.

The spelling of 48833820 in words is "forty-eight million, eight hundred thirty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 1260 1890 3780 12919 25838 38757 51676 64595 77514 90433 116271 129190 155028 180866 193785 232542 258380 271299 348813 361732 387570 452165 465084 542598 581355 697626 775140 813897 904330 1085196 1162710 1356495 1395252 1627794 1744065 1808660 2325420 2441691 2712990 3255588 3488130 4069485 4883382 5425980 6976260 8138970 9766764 12208455 16277940 24416910 48833820