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49491840 = 2735149173
BaseRepresentation
bin1011110011001…
…0111110000000
310110010110001010
42330302332000
5100132214330
64524440520
71140450036
oct274627600
9113113033
1049491840
1125a33a52
12146a9140
13a33b018
146804556
1545293b0
hex2f32f80

49491840 has 128 divisors (see below), whose sum is σ = 159732000. Its totient is φ = 13033472.

The previous prime is 49491833. The next prime is 49491847. The reversal of 49491840 is 4819494.

49491840 is nontrivially palindromic in base 11.

49491840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49491833) and next prime (49491847).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49491847) 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, 285994 + ... + 286166.

Almost surely, 249491840 is an apocalyptic number.

49491840 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 49491840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79866000).

49491840 is an abundant number, since it is smaller than the sum of its proper divisors (110240160).

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

49491840 is a wasteful number, since it uses less digits than its factorization.

49491840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 49491840 is about 7035.0437098855. The cubic root of 49491840 is about 367.1508461315.

The spelling of 49491840 in words is "forty-nine million, four hundred ninety-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 149 160 173 192 240 298 320 346 384 447 480 519 596 640 692 745 865 894 960 1038 1192 1384 1490 1730 1788 1920 2076 2235 2384 2595 2768 2980 3460 3576 4152 4470 4768 5190 5536 5960 6920 7152 8304 8940 9536 10380 11072 11920 13840 14304 16608 17880 19072 20760 22144 23840 25777 27680 28608 33216 35760 41520 47680 51554 55360 57216 66432 71520 77331 83040 95360 103108 110720 128885 143040 154662 166080 206216 257770 286080 309324 332160 386655 412432 515540 618648 773310 824864 1031080 1237296 1546620 1649728 2062160 2474592 3093240 3299456 4124320 4949184 6186480 8248640 9898368 12372960 16497280 24745920 49491840