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94384944 = 24325383149
BaseRepresentation
bin1011010000000…
…11001100110000
320120121020210200
411220003030300
5143130304234
613210555200
72224154523
oct550031460
9216536720
1094384944
1149306895
1227738b00
1316728aa4
14c76cbba
158445d99
hex5a03330

94384944 has 120 divisors (see below), whose sum is σ = 274201200. Its totient is φ = 30291456.

The previous prime is 94384919. The next prime is 94384949. The reversal of 94384944 is 44948349.

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

It is a self number, because there is not a number n which added to its sum of digits gives 94384944.

It is not an unprimeable number, because it can be changed into a prime (94384949) 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, 633382 + ... + 633530.

It is an arithmetic number, because the mean of its divisors is an integer number (2285010).

Almost surely, 294384944 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 94384944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137100600).

94384944 is an abundant number, since it is smaller than the sum of its proper divisors (179816256).

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

94384944 is a wasteful number, since it uses less digits than its factorization.

94384944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 290 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 94384944 is about 9715.1914031583. The cubic root of 94384944 is about 455.3034147397.

The spelling of 94384944 in words is "ninety-four million, three hundred eighty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 83 106 144 149 159 166 212 249 298 318 332 424 447 477 498 596 636 664 747 848 894 954 996 1192 1272 1328 1341 1494 1788 1908 1992 2384 2544 2682 2988 3576 3816 3984 4399 5364 5976 7152 7632 7897 8798 10728 11952 12367 13197 15794 17596 21456 23691 24734 26394 31588 35192 37101 39591 47382 49468 52788 63176 70384 71073 74202 79182 94764 98936 105576 111303 126352 142146 148404 158364 189528 197872 211152 222606 284292 296808 316728 379056 445212 568584 593616 633456 655451 890424 1137168 1310902 1780848 1966353 2621804 3932706 5243608 5899059 7865412 10487216 11798118 15730824 23596236 31461648 47192472 94384944