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945640248 = 23377383929
BaseRepresentation
bin111000010111010…
…101001100111000
32102220101111112220
4320113111030320
53414040441443
6233500204040
732301544440
oct7027251470
92386344486
10945640248
11445875573
12224839620
13120bb6557
148d83b120
1558044a83
hex385d5338

945640248 has 128 divisors (see below), whose sum is σ = 2774822400. Its totient is φ = 262987776.

The previous prime is 945640243. The next prime is 945640261. The reversal of 945640248 is 842046549.

945640248 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 (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945640243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1017448 + ... + 1018376.

It is an arithmetic number, because the mean of its divisors is an integer number (21678300).

Almost surely, 2945640248 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 945640248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387411200).

945640248 is an abundant number, since it is smaller than the sum of its proper divisors (1829182152).

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

945640248 is a wasteful number, since it uses less digits than its factorization.

945640248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 945640248 is about 30751.2641691362. The cubic root of 945640248 is about 981.5414614028.

The spelling of 945640248 in words is "nine hundred forty-five million, six hundred forty thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 83 84 146 166 168 219 249 292 332 438 498 511 581 584 664 876 929 996 1022 1162 1533 1743 1752 1858 1992 2044 2324 2787 3066 3486 3716 4088 4648 5574 6059 6132 6503 6972 7432 11148 12118 12264 13006 13944 18177 19509 22296 24236 26012 36354 39018 42413 48472 52024 67817 72708 77107 78036 84826 127239 135634 145416 154214 156072 169652 203451 231321 254478 271268 308428 339304 406902 462642 474719 508956 539749 542536 616856 813804 925284 949438 1017912 1079498 1424157 1619247 1627608 1850568 1898876 2158996 2848314 3238494 3797752 4317992 5628811 5696628 6476988 11257622 11393256 12953976 16886433 22515244 33772866 39401677 45030488 67545732 78803354 118205031 135091464 157606708 236410062 315213416 472820124 945640248