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4742442 = 233312833
BaseRepresentation
bin10010000101110100101010
322220221102000
4102011310222
52203224232
6245351430
755211235
oct22056452
98827360
104742442
11274a081
121708576
13ca07a3
148b641c
1563a27c
hex485d2a

4742442 has 32 divisors (see below), whose sum is σ = 10882560. Its totient is φ = 1529280.

The previous prime is 4742431. The next prime is 4742443. The reversal of 4742442 is 2442474.

It is a super-2 number, since 2×47424422 = 44981512246728, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4742443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258 + ... + 3090.

It is an arithmetic number, because the mean of its divisors is an integer number (340080).

Almost surely, 24742442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4742442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5441280).

4742442 is an abundant number, since it is smaller than the sum of its proper divisors (6140118).

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

4742442 is a wasteful number, since it uses less digits than its factorization.

4742442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2869 counting only the distinct ones).

The product of its digits is 7168, while the sum is 27.

The square root of 4742442 is about 2177.7148573677. The cubic root of 4742442 is about 168.0095657819.

Subtracting from 4742442 its reverse (2442474), we obtain a cube (2299968 = 1323).

It can be divided in two parts, 4742 and 442, that added together give a square (5184 = 722).

The spelling of 4742442 in words is "four million, seven hundred forty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 2833 5666 8499 16998 25497 50994 76491 87823 152982 175646 263469 526938 790407 1580814 2371221 4742442