Search a number
-
+
746690490 = 23257131731173
BaseRepresentation
bin101100100000011…
…001011110111010
31221001000210210100
4230200121132322
53012123043430
6202032100230
724334523130
oct5440313672
91831023710
10746690490
1135353a687
1218a094676
13bb9092c0
147124d750
1545846960
hex2c8197ba

746690490 has 384 divisors, whose sum is σ = 2626670592. Its totient is φ = 142663680.

The previous prime is 746690431. The next prime is 746690491. The reversal of 746690490 is 94096647.

746690490 is a `hidden beast` number, since 74 + 6 + 6 + 90 + 490 = 666.

746690490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (746690491) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4316044 + ... + 4316216.

It is an arithmetic number, because the mean of its divisors is an integer number (6840288).

Almost surely, 2746690490 is an apocalyptic number.

746690490 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 746690490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313335296).

746690490 is an abundant number, since it is smaller than the sum of its proper divisors (1879980102).

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

746690490 is a wasteful number, since it uses less digits than its factorization.

746690490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 746690490 is about 27325.6379614457. The cubic root of 746690490 is about 907.2219306051.

The spelling of 746690490 in words is "seven hundred forty-six million, six hundred ninety thousand, four hundred ninety".