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904745142 = 232719936083
BaseRepresentation
bin110101111011010…
…101000010110110
32100001102211000100
4311323111002312
53323103321032
6225435454530
731264130640
oct6573250266
92301384010
10904745142
11424783464
12212bb7446
13115598472
1488233890
155466797c
hex35ed50b6

904745142 has 48 divisors (see below), whose sum is σ = 2251641600. Its totient is φ = 257192496.

The previous prime is 904745141. The next prime is 904745143. The reversal of 904745142 is 241547409.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (904745141) and next prime (904745143).

It is a junction number, because it is equal to n+sod(n) for n = 904745097 and 904745106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904745141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7033 + ... + 43115.

It is an arithmetic number, because the mean of its divisors is an integer number (46909200).

Almost surely, 2904745142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 904745142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1125820800).

904745142 is an abundant number, since it is smaller than the sum of its proper divisors (1346896458).

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

904745142 is a wasteful number, since it uses less digits than its factorization.

904745142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36297 (or 36294 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 904745142 is about 30078.9817314350. The cubic root of 904745142 is about 967.1832202098.

The spelling of 904745142 in words is "nine hundred four million, seven hundred forty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 199 398 597 1194 1393 1791 2786 3582 4179 8358 12537 25074 36083 72166 108249 216498 252581 324747 505162 649494 757743 1515486 2273229 4546458 7180517 14361034 21541551 43083102 50263619 64624653 100527238 129249306 150790857 301581714 452372571 904745142