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4944384 = 29322937
BaseRepresentation
bin10010110111001000000000
3100022012102100
4102313020000
52231210014
6253550400
760012054
oct22671000
910265370
104944384
112877875
1217a5400
131041693
14929c64
1567a009
hex4b7200

4944384 has 120 divisors (see below), whose sum is σ = 15160860. Its totient is φ = 1548288.

The previous prime is 4944383. The next prime is 4944391. The reversal of 4944384 is 4834494.

It can be written as a sum of positive squares in 2 ways, for example, as 4665600 + 278784 = 2160^2 + 528^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4944383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133614 + ... + 133650.

Almost surely, 24944384 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 4944384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7580430).

4944384 is an abundant number, since it is smaller than the sum of its proper divisors (10216476).

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

4944384 is a wasteful number, since it uses less digits than its factorization.

4944384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 71 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 4944384 is about 2223.5970858049. The cubic root of 4944384 is about 170.3612157979.

The spelling of 4944384 in words is "four million, nine hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 37 48 58 64 72 74 87 96 111 116 128 144 148 174 192 222 232 256 261 288 296 333 348 384 444 464 512 522 576 592 666 696 768 888 928 1044 1073 1152 1184 1332 1392 1536 1776 1856 2088 2146 2304 2368 2664 2784 3219 3552 3712 4176 4292 4608 4736 5328 5568 6438 7104 7424 8352 8584 9472 9657 10656 11136 12876 14208 14848 16704 17168 18944 19314 21312 22272 25752 28416 33408 34336 38628 42624 44544 51504 56832 66816 68672 77256 85248 103008 133632 137344 154512 170496 206016 274688 309024 412032 549376 618048 824064 1236096 1648128 2472192 4944384