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4742144 = 21011421
BaseRepresentation
bin10010000101110000000000
322220220222222
4102011300000
52203222034
6245350212
755210331
oct22056000
98826888
104742144
112749930
121708368
13ca0604
148b6288
1563a12e
hex485c00

4742144 has 44 divisors (see below), whose sum is σ = 10366008. Its totient is φ = 2150400.

The previous prime is 4742141. The next prime is 4742147. The reversal of 4742144 is 4412474.

It is an interprime number because it is at equal distance from previous prime (4742141) and next prime (4742147).

It is a tau number, because it is divible by the number of its divisors (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4742141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11054 + ... + 11474.

Almost surely, 24742144 is an apocalyptic number.

4742144 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 4742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5183004).

4742144 is an abundant number, since it is smaller than the sum of its proper divisors (5623864).

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

4742144 is a wasteful number, since it uses less digits than its factorization.

4742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 434 counting only the distinct ones).

The product of its digits is 3584, while the sum is 26.

The square root of 4742144 is about 2177.6464359487. The cubic root of 4742144 is about 168.0060466456.

The spelling of 4742144 in words is "four million, seven hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 421 512 704 842 1024 1408 1684 2816 3368 4631 5632 6736 9262 11264 13472 18524 26944 37048 53888 74096 107776 148192 215552 296384 431104 592768 1185536 2371072 4742144