Search a number
-
+
38234742 = 23713239293
BaseRepresentation
bin1001000111011…
…0101001110110
32122221112012120
42101312221312
534242002432
63443300410
7642663360
oct221665166
978845176
1038234742
111a645367
121097a706
137bc9210
145113d30
153553c2c
hex2476a76

38234742 has 64 divisors (see below), whose sum is σ = 94832640. Its totient is φ = 10007424.

The previous prime is 38234737. The next prime is 38234743. The reversal of 38234742 is 24743283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38234743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 130348 + ... + 130640.

It is an arithmetic number, because the mean of its divisors is an integer number (1481760).

Almost surely, 238234742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38234742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47416320).

38234742 is an abundant number, since it is smaller than the sum of its proper divisors (56597898).

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

38234742 is a wasteful number, since it uses less digits than its factorization.

38234742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557.

The product of its digits is 32256, while the sum is 33.

The square root of 38234742 is about 6183.4247791980. The cubic root of 38234742 is about 336.8883979765. Note that the first 3 decimals are identical.

The spelling of 38234742 in words is "thirty-eight million, two hundred thirty-four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 239 273 293 478 546 586 717 879 1434 1673 1758 2051 3107 3346 3809 4102 5019 6153 6214 7618 9321 10038 11427 12306 18642 21749 22854 26663 43498 53326 65247 70027 79989 130494 140054 159978 210081 420162 490189 910351 980378 1470567 1820702 2731053 2941134 5462106 6372457 12744914 19117371 38234742