Search a number
-
+
48031440 = 2435200131
BaseRepresentation
bin1011011100111…
…0011011010000
310100101020202020
42313032123100
544244001230
64433251440
71122155232
oct267163320
9110336666
1048031440
1125126806
1214103b80
139c49392
146544252
15433b810
hex2dce6d0

48031440 has 40 divisors (see below), whose sum is σ = 148898208. Its totient is φ = 12808320.

The previous prime is 48031433. The next prime is 48031483. The reversal of 48031440 is 4413084.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 48031440.

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, 99826 + ... + 100305.

Almost surely, 248031440 is an apocalyptic number.

48031440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48031440 is an abundant number, since it is smaller than the sum of its proper divisors (100866768).

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

48031440 is a wasteful number, since it uses less digits than its factorization.

48031440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200147 (or 200141 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 48031440 is about 6930.4718454085. The cubic root of 48031440 is about 363.5034488477.

The spelling of 48031440 in words is "forty-eight million, thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 200131 400262 600393 800524 1000655 1200786 1601048 2001310 2401572 3001965 3202096 4002620 4803144 6003930 8005240 9606288 12007860 16010480 24015720 48031440