Search a number
-
+
248143464 = 23323446437
BaseRepresentation
bin11101100101001…
…01111001101000
3122021220222211200
432302211321220
51002011042324
640342324200
76102120222
oct1662457150
9567828750
10248143464
11118085948
126b129660
133c54266a
1424d55412
1516bb8ec9
hexeca5e68

248143464 has 24 divisors (see below), whose sum is σ = 672055410. Its totient is φ = 82714464.

The previous prime is 248143447. The next prime is 248143471. The reversal of 248143464 is 464341842.

It can be written as a sum of positive squares in only one way, i.e., 157703364 + 90440100 = 12558^2 + 9510^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1723147 + ... + 1723290.

Almost surely, 2248143464 is an apocalyptic number.

248143464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248143464 is an abundant number, since it is smaller than the sum of its proper divisors (423911946).

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

248143464 is a wasteful number, since it uses less digits than its factorization.

248143464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446449 (or 3446442 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 248143464 is about 15752.5700760225. The cubic root of 248143464 is about 628.3972563275.

The spelling of 248143464 in words is "two hundred forty-eight million, one hundred forty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 3446437 6892874 10339311 13785748 20678622 27571496 31017933 41357244 62035866 82714488 124071732 248143464