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4737042 = 238192
BaseRepresentation
bin10010000100100000010010
322220200000000
4102010200102
52203041132
6245310430
755156422
oct22044022
98820000
104737042
112746012
121705416
13c9b1ab
148b4482
1563887c
hex484812

4737042 has 54 divisors (see below), whose sum is σ = 11248263. Its totient is φ = 1495908.

The previous prime is 4737037. The next prime is 4737053. The reversal of 4737042 is 2407374.

4737042 is nontrivially palindromic in base 8.

It can be written as a sum of positive squares in only one way, i.e., 2368521 + 2368521 = 1539^2 + 1539^2 .

It is a tau number, because it is divible by the number of its divisors (54).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1539.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 4736997 and 4737015.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 249309 + ... + 249327.

Almost surely, 24737042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4737042

4737042 is an abundant number, since it is smaller than the sum of its proper divisors (6511221).

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

4737042 is an frugal number, since it uses more digits than its factorization.

4737042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 27.

The square root of 4737042 is about 2176.4746724922. The cubic root of 4737042 is about 167.9457733150.

The spelling of 4737042 in words is "four million, seven hundred thirty-seven thousand, forty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 243 342 361 486 513 722 729 1026 1083 1458 1539 2166 2187 3078 3249 4374 4617 6498 6561 9234 9747 13122 13851 19494 27702 29241 41553 58482 83106 87723 124659 175446 249318 263169 526338 789507 1579014 2368521 4737042