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4642944 = 273107113
BaseRepresentation
bin10001101101100010000000
322201212220220
4101231202000
52142033234
6243303040
754315165
oct21554200
98655826
104642944
112691349
12167aa80
13c67407
1488c06c
1561aa49
hex46d880

4642944 has 64 divisors (see below), whose sum is σ = 12558240. Its totient is φ = 1519616.

The previous prime is 4642927. The next prime is 4642949. The reversal of 4642944 is 4492464.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (4642949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41032 + ... + 41144.

Almost surely, 24642944 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 4642944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279120).

4642944 is an abundant number, since it is smaller than the sum of its proper divisors (7915296).

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

4642944 is a wasteful number, since it uses less digits than its factorization.

4642944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 225 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 4642944 is about 2154.7491733378. The cubic root of 4642944 is about 166.8262861920.

The spelling of 4642944 in words is "four million, six hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 113 128 192 214 226 321 339 384 428 452 642 678 856 904 1284 1356 1712 1808 2568 2712 3424 3616 5136 5424 6848 7232 10272 10848 12091 13696 14464 20544 21696 24182 36273 41088 43392 48364 72546 96728 145092 193456 290184 386912 580368 773824 1160736 1547648 2321472 4642944