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4742940 = 2235137577
BaseRepresentation
bin10010000101111100011100
322220222002110
4102011330130
52203233230
6245354020
755212546
oct22057434
98828073
104742940
11274a494
121708910
13ca0a97
148b6696
1563a4b0
hex485f1c

4742940 has 48 divisors (see below), whose sum is σ = 13400352. Its totient is φ = 1253376.

The previous prime is 4742939. The next prime is 4742953. The reversal of 4742940 is 492474.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a d-powerful number, because it can be written as 4 + 75 + 44 + 27 + 96 + 411 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 4742898 and 4742907.

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, 7932 + ... + 8508.

It is an arithmetic number, because the mean of its divisors is an integer number (279174).

Almost surely, 24742940 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 4742940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6700176).

4742940 is an abundant number, since it is smaller than the sum of its proper divisors (8657412).

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

4742940 is a wasteful number, since it uses less digits than its factorization.

4742940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 4742940 is about 2177.8291944044. The cubic root of 4742940 is about 168.0154464256.

The spelling of 4742940 in words is "four million, seven hundred forty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 577 685 822 1154 1370 1644 1731 2055 2308 2740 2885 3462 4110 5770 6924 8220 8655 11540 17310 34620 79049 158098 237147 316196 395245 474294 790490 948588 1185735 1580980 2371470 4742940