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49063040 = 275135897
BaseRepresentation
bin1011101100101…
…0010010000000
310102022122211122
42323022102000
5100030004130
64511331412
71134012635
oct273122200
9112278748
1049063040
1125770874
1214520b68
13a21aab0
14673218c
1544922e5
hex2eca480

49063040 has 64 divisors (see below), whose sum is σ = 126335160. Its totient is φ = 18112512.

The previous prime is 49063039. The next prime is 49063051. The reversal of 49063040 is 4036094.

It can be written as a sum of positive squares in 4 ways, for example, as 41267776 + 7795264 = 6424^2 + 2792^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5372 + ... + 11268.

Almost surely, 249063040 is an apocalyptic number.

49063040 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 49063040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63167580).

49063040 is an abundant number, since it is smaller than the sum of its proper divisors (77272120).

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

49063040 is a wasteful number, since it uses less digits than its factorization.

49063040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5929 (or 5917 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 49063040 is about 7004.5014098078. The cubic root of 49063040 is about 366.0874307138.

The spelling of 49063040 in words is "forty-nine million, sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 260 320 416 520 640 832 1040 1664 2080 4160 5897 8320 11794 23588 29485 47176 58970 76661 94352 117940 153322 188704 235880 306644 377408 383305 471760 613288 754816 766610 943520 1226576 1533220 1887040 2453152 3066440 3774080 4906304 6132880 9812608 12265760 24531520 49063040