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4690944 = 21032509
BaseRepresentation
bin10001111001010000000000
322211022202200
4101321100000
52200102234
6244313200
754605136
oct21712000
98738680
104690944
112714415
1216a2800
13c8320b
148a1756
15629d99
hex479400

4690944 has 66 divisors (see below), whose sum is σ = 13571610. Its totient is φ = 1560576.

The previous prime is 4690943. The next prime is 4690949. The reversal of 4690944 is 4490964.

It can be written as a sum of positive squares in only one way, i.e., 4460544 + 230400 = 2112^2 + 480^2 .

It is a super-2 number, since 2×46909442 = 44009911222272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4690899 and 4690908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4690943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8962 + ... + 9470.

Almost surely, 24690944 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 4690944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785805).

4690944 is an abundant number, since it is smaller than the sum of its proper divisors (8880666).

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

4690944 is a wasteful number, since it uses less digits than its factorization.

4690944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4690944 is about 2165.8587211543. The cubic root of 4690944 is about 167.3992146347.

The spelling of 4690944 in words is "four million, six hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 509 512 576 768 1018 1024 1152 1527 1536 2036 2304 3054 3072 4072 4581 4608 6108 8144 9162 9216 12216 16288 18324 24432 32576 36648 48864 65152 73296 97728 130304 146592 195456 260608 293184 390912 521216 586368 781824 1172736 1563648 2345472 4690944