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4742364 = 2231137971
BaseRepresentation
bin10010000101110011011100
322220221022010
4102011303130
52203223424
6245351220
755211064
oct22056334
98827263
104742364
11274a010
121708510
13ca0743
148b63a4
1563a229
hex485cdc

4742364 has 48 divisors (see below), whose sum is σ = 12410496. Its totient is φ = 1396800.

The previous prime is 4742359. The next prime is 4742377. The reversal of 4742364 is 4632474.

It is a d-powerful number, because it can be written as 43 + 7 + 47 + 27 + 312 + 62 + 411 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4399 + ... + 5369.

It is an arithmetic number, because the mean of its divisors is an integer number (258552).

Almost surely, 24742364 is an apocalyptic number.

4742364 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4742364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205248).

4742364 is an abundant number, since it is smaller than the sum of its proper divisors (7668132).

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

4742364 is a wasteful number, since it uses less digits than its factorization.

4742364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1026 (or 1024 counting only the distinct ones).

The product of its digits is 16128, while the sum is 30.

The square root of 4742364 is about 2177.6969486134. The cubic root of 4742364 is about 168.0086446799.

The spelling of 4742364 in words is "four million, seven hundred forty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 971 1221 1628 1942 2442 2913 3884 4884 5826 10681 11652 21362 32043 35927 42724 64086 71854 107781 128172 143708 215562 395197 431124 790394 1185591 1580788 2371182 4742364