Search a number
-
+
248374960 = 2455358579
BaseRepresentation
bin11101100110111…
…10011010110000
3122022100202101121
432303132122300
51002040444320
640351312024
76104103151
oct1663363260
9568322347
10248374960
11118223869
126b21b614
133c5c3b42
1424db5928
1516c128aa
hexecde6b0

248374960 has 40 divisors (see below), whose sum is σ = 588377520. Its totient is φ = 97473792.

The previous prime is 248374943. The next prime is 248374979. The reversal of 248374960 is 69473842.

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

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, 25050 + ... + 33529.

It is an arithmetic number, because the mean of its divisors is an integer number (14709438).

Almost surely, 2248374960 is an apocalyptic number.

248374960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248374960 is an abundant number, since it is smaller than the sum of its proper divisors (340002560).

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

248374960 is a wasteful number, since it uses less digits than its factorization.

248374960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58645 (or 58639 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 43.

The square root of 248374960 is about 15759.9162434323. The cubic root of 248374960 is about 628.5926086921.

The spelling of 248374960 in words is "two hundred forty-eight million, three hundred seventy-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 58579 117158 234316 292895 468632 585790 937264 1171580 2343160 3104687 4686320 6209374 12418748 15523435 24837496 31046870 49674992 62093740 124187480 248374960