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49418040 = 2335758831
BaseRepresentation
bin1011110010000…
…0111100111000
310102222200210210
42330200330320
5100122334130
64523111120
71140021630
oct274407470
9112880723
1049418040
1125993561
12146724a0
13a313559
1467c56c0
1545125b0
hex2f20f38

49418040 has 64 divisors (see below), whose sum is σ = 169436160. Its totient is φ = 11295360.

The previous prime is 49418023. The next prime is 49418063. The reversal of 49418040 is 4081494.

49418040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 49417989 and 49418007.

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 15 ways as a sum of consecutive naturals, for example, 28576 + ... + 30255.

It is an arithmetic number, because the mean of its divisors is an integer number (2647440).

Almost surely, 249418040 is an apocalyptic number.

49418040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49418040 is an abundant number, since it is smaller than the sum of its proper divisors (120018120).

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

49418040 is a wasteful number, since it uses less digits than its factorization.

49418040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58852 (or 58848 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 49418040 is about 7029.7965831168. The cubic root of 49418040 is about 366.9682624194.

The spelling of 49418040 in words is "forty-nine million, four hundred eighteen thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 58831 117662 176493 235324 294155 352986 411817 470648 588310 705972 823634 882465 1176620 1235451 1411944 1647268 1764930 2059085 2353240 2470902 3294536 3529860 4118170 4941804 6177255 7059720 8236340 9883608 12354510 16472680 24709020 49418040