Search a number
-
+
48014480 = 2451035827
BaseRepresentation
bin1011011100101…
…0010010010000
310100100101111002
42313022102100
544242430410
64433041132
71122054623
oct267122220
9110311432
1048014480
1125114a98
12140b61a8
139c41747
14653bdba
1543367a5
hex2dca490

48014480 has 40 divisors (see below), whose sum is σ = 112736832. Its totient is φ = 19016064.

The previous prime is 48014471. The next prime is 48014497. The reversal of 48014480 is 8441084.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5327 + ... + 11153.

Almost surely, 248014480 is an apocalyptic number.

48014480 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 48014480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56368416).

48014480 is an abundant number, since it is smaller than the sum of its proper divisors (64722352).

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

48014480 is a wasteful number, since it uses less digits than its factorization.

48014480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5943 (or 5937 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

The square root of 48014480 is about 6929.2481554639. The cubic root of 48014480 is about 363.4606592065.

The spelling of 48014480 in words is "forty-eight million, fourteen thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 103 206 412 515 824 1030 1648 2060 4120 5827 8240 11654 23308 29135 46616 58270 93232 116540 233080 466160 600181 1200362 2400724 3000905 4801448 6001810 9602896 12003620 24007240 48014480