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49208940 = 223251129857
BaseRepresentation
bin1011101110110…
…1111001101100
310102121001222100
42323231321230
5100044141230
64514415100
71135161204
oct273557154
9112531870
1049208940
1125860450
1214591490
13a26c321
14676d404
1544c0660
hex2eede6c

49208940 has 144 divisors (see below), whose sum is σ = 168648480. Its totient is φ = 11504640.

The previous prime is 49208923. The next prime is 49208941. The reversal of 49208940 is 4980294.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 49208895 and 49208904.

It is not an unprimeable number, because it can be changed into a prime (49208941) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 56992 + ... + 57848.

It is an arithmetic number, because the mean of its divisors is an integer number (1171170).

Almost surely, 249208940 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 49208940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84324240).

49208940 is an abundant number, since it is smaller than the sum of its proper divisors (119439540).

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

49208940 is a wasteful number, since it uses less digits than its factorization.

49208940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 49208940 is about 7014.9084099509. The cubic root of 49208940 is about 366.4499527472.

The spelling of 49208940 in words is "forty-nine million, two hundred eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 29 30 33 36 44 45 55 58 60 66 87 90 99 110 116 132 145 165 174 180 198 220 261 290 319 330 348 396 435 495 522 580 638 660 857 870 957 990 1044 1276 1305 1595 1714 1740 1914 1980 2571 2610 2871 3190 3428 3828 4285 4785 5142 5220 5742 6380 7713 8570 9427 9570 10284 11484 12855 14355 15426 17140 18854 19140 24853 25710 28281 28710 30852 37708 38565 47135 49706 51420 56562 57420 74559 77130 84843 94270 99412 113124 124265 141405 149118 154260 169686 188540 223677 248530 273383 282810 298236 339372 372795 424215 447354 497060 546766 565620 745590 820149 848430 894708 1093532 1118385 1366915 1491180 1640298 1696860 2236770 2460447 2733830 3280596 4100745 4473540 4920894 5467660 8201490 9841788 12302235 16402980 24604470 49208940