Search a number
-
+
296914248 = 23341726953
BaseRepresentation
bin10001101100101…
…000110101001000
3202200200210210000
4101230220311020
51102002223443
645243523000
710233505131
oct2154506510
9680623700
10296914248
11142667084
1283529460
134968a407
142b60cc88
151b0ee8d3
hex11b28d48

296914248 has 80 divisors (see below), whose sum is σ = 880587180. Its totient is φ = 93146112.

The previous prime is 296914243. The next prime is 296914283. The reversal of 296914248 is 842419692.

It can be written as a sum of positive squares in 2 ways, for example, as 279625284 + 17288964 = 16722^2 + 4158^2 .

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

It is not an unprimeable number, because it can be changed into a prime (296914243) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2461 + ... + 24492.

Almost surely, 2296914248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296914248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440293590).

296914248 is an abundant number, since it is smaller than the sum of its proper divisors (583672932).

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

296914248 is a wasteful number, since it uses less digits than its factorization.

296914248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26988 (or 26975 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 296914248 is about 17231.1998421468. The cubic root of 296914248 is about 667.1298086192.

The spelling of 296914248 in words is "two hundred ninety-six million, nine hundred fourteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 26953 53906 80859 107812 161718 215624 242577 323436 458201 485154 646872 727731 916402 970308 1374603 1455462 1832804 1940616 2183193 2749206 2910924 3665608 4123809 4366386 5498412 5821848 8247618 8732772 10996824 12371427 16495236 17465544 24742854 32990472 37114281 49485708 74228562 98971416 148457124 296914248