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49736940 = 223511179421
BaseRepresentation
bin1011110110111…
…0110011101100
310110120220020220
42331232303230
5100213040230
64534011340
71142520441
oct275566354
9113526226
1049736940
1126091110
12147a6b50
13a3c5756
1468699c8
154576d10
hex2f6ecec

49736940 has 96 divisors (see below), whose sum is σ = 153135360. Its totient is φ = 11961600.

The previous prime is 49736933. The next prime is 49736963. The reversal of 49736940 is 4963794.

It is a junction number, because it is equal to n+sod(n) for n = 49736892 and 49736901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117930 + ... + 118350.

It is an arithmetic number, because the mean of its divisors is an integer number (1595160).

Almost surely, 249736940 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 49736940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76567680).

49736940 is an abundant number, since it is smaller than the sum of its proper divisors (103398420).

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

49736940 is a wasteful number, since it uses less digits than its factorization.

49736940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 49736940 is about 7052.4421302128. The cubic root of 49736940 is about 367.7559326030.

The spelling of 49736940 in words is "forty-nine million, seven hundred thirty-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 179 220 330 358 421 537 660 716 842 895 1074 1263 1684 1790 1969 2105 2148 2526 2685 3580 3938 4210 4631 5052 5370 5907 6315 7876 8420 9262 9845 10740 11814 12630 13893 18524 19690 23155 23628 25260 27786 29535 39380 46310 55572 59070 69465 75359 92620 118140 138930 150718 226077 277860 301436 376795 452154 753590 828949 904308 1130385 1507180 1657898 2260770 2486847 3315796 4144745 4521540 4973694 8289490 9947388 12434235 16578980 24868470 49736940