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49190240 = 25511191471
BaseRepresentation
bin1011101110100…
…1010101100000
310102120010022202
42323221111200
5100043041430
64514152332
71135052531
oct273512540
9112503282
1049190240
11258483a0
12145826a8
13a263968
146766688
1544b9d45
hex2ee9560

49190240 has 96 divisors (see below), whose sum is σ = 133539840. Its totient is φ = 16934400.

The previous prime is 49190233. The next prime is 49190249. The reversal of 49190240 is 4209194.

49190240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×491902402 = 4839359422515200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49190249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 32705 + ... + 34175.

It is an arithmetic number, because the mean of its divisors is an integer number (1391040).

Almost surely, 249190240 is an apocalyptic number.

49190240 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 49190240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66769920).

49190240 is an abundant number, since it is smaller than the sum of its proper divisors (84349600).

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

49190240 is a wasteful number, since it uses less digits than its factorization.

49190240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1516 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 49190240 is about 7013.5754077361. The cubic root of 49190240 is about 366.4035283757.

The spelling of 49190240 in words is "forty-nine million, one hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 32 38 40 44 55 76 80 88 95 110 152 160 176 190 209 220 304 352 380 418 440 608 760 836 880 1045 1471 1520 1672 1760 2090 2942 3040 3344 4180 5884 6688 7355 8360 11768 14710 16181 16720 23536 27949 29420 32362 33440 47072 55898 58840 64724 80905 111796 117680 129448 139745 161810 223592 235360 258896 279490 307439 323620 447184 517792 558980 614878 647240 894368 1117960 1229756 1294480 1537195 2235920 2459512 2588960 3074390 4471840 4919024 6148780 9838048 12297560 24595120 49190240