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49190040 = 233251071277
BaseRepresentation
bin1011101110100…
…1010010011000
310102120010001100
42323221102120
5100043040130
64514151400
71135052124
oct273512230
9112503040
1049190040
1125848229
1214582560
13a263843
146766584
1544b9c60
hex2ee9498

49190040 has 96 divisors (see below), whose sum is σ = 161488080. Its totient is φ = 12984576.

The previous prime is 49190039. The next prime is 49190051. The reversal of 49190040 is 4009194.

49190040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 49189986 and 49190013.

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 23 ways as a sum of consecutive naturals, for example, 37882 + ... + 39158.

Almost surely, 249190040 is an apocalyptic number.

49190040 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 49190040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80744040).

49190040 is an abundant number, since it is smaller than the sum of its proper divisors (112298040).

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

49190040 is a wasteful number, since it uses less digits than its factorization.

49190040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1394 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 49190040 is about 7013.5611496586. The cubic root of 49190040 is about 366.4030317948.

The spelling of 49190040 in words is "forty-nine million, one hundred ninety thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 107 120 180 214 321 360 428 535 642 856 963 1070 1277 1284 1605 1926 2140 2554 2568 3210 3831 3852 4280 4815 5108 6385 6420 7662 7704 9630 10216 11493 12770 12840 15324 19155 19260 22986 25540 30648 38310 38520 45972 51080 57465 76620 91944 114930 136639 153240 229860 273278 409917 459720 546556 683195 819834 1093112 1229751 1366390 1639668 2049585 2459502 2732780 3279336 4099170 4919004 5465560 6148755 8198340 9838008 12297510 16396680 24595020 49190040