Search a number
-
+
248265990 = 23257394073
BaseRepresentation
bin11101100110000…
…11110100000110
3122022011012220200
432303003310012
51002024002430
640345111330
76103140360
oct1663036406
9568135820
10248265990
11118159a05
126b188546
133c58636b
1424d87d30
1516be0460
hexecc3d06

248265990 has 48 divisors (see below), whose sum is σ = 737706528. Its totient is φ = 56746368.

The previous prime is 248265931. The next prime is 248265991. The reversal of 248265990 is 99562842.

248265990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248265991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196407 + ... + 197666.

It is an arithmetic number, because the mean of its divisors is an integer number (15368886).

Almost surely, 2248265990 is an apocalyptic number.

248265990 is an abundant number, since it is smaller than the sum of its proper divisors (489440538).

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

248265990 is a wasteful number, since it uses less digits than its factorization.

248265990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394093 (or 394090 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 248265990 is about 15756.4586757304. The cubic root of 248265990 is about 628.5006673837.

The spelling of 248265990 in words is "two hundred forty-eight million, two hundred sixty-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 394073 788146 1182219 1970365 2364438 2758511 3546657 3940730 5517022 5911095 7093314 8275533 11822190 13792555 16551066 17733285 24826599 27585110 35466570 41377665 49653198 82755330 124132995 248265990