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48281040 = 2432567057
BaseRepresentation
bin1011100000101…
…1010111010000
310100211221010200
42320023113100
544324443130
64442455200
71124245023
oct270132720
9110757120
1048281040
1125287295
1214204500
13a005b82
1465ab1ba
15438a760
hex2e0b5d0

48281040 has 60 divisors (see below), whose sum is σ = 162146244. Its totient is φ = 12874752.

The previous prime is 48281029. The next prime is 48281047. The reversal of 48281040 is 4018284.

It can be written as a sum of positive squares in 2 ways, for example, as 32216976 + 16064064 = 5676^2 + 4008^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 48280995 and 48281013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48281047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32809 + ... + 34248.

Almost surely, 248281040 is an apocalyptic number.

48281040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48281040 is an abundant number, since it is smaller than the sum of its proper divisors (113865204).

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

48281040 is a wasteful number, since it uses less digits than its factorization.

48281040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67076 (or 67067 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 48281040 is about 6948.4559435892. The cubic root of 48281040 is about 364.1320215063.

The spelling of 48281040 in words is "forty-eight million, two hundred eighty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 67057 134114 201171 268228 335285 402342 536456 603513 670570 804684 1005855 1072912 1207026 1341140 1609368 2011710 2414052 2682280 3017565 3218736 4023420 4828104 5364560 6035130 8046840 9656208 12070260 16093680 24140520 48281040