| Base | Representation |
|---|---|
| bin | 11100001001011… |
| … | …101011100100000 |
| 3 | 1012220121101011200 |
| 4 | 130021131130200 |
| 5 | 1431343220302 |
| 6 | 114505441200 |
| 7 | 14462663460 |
| oct | 3411353440 |
| 9 | 1186541150 |
| 10 | 472241952 |
| 11 | 222628406 |
| 12 | 1121a0200 |
| 13 | 76ab6710 |
| 14 | 46a0bba0 |
| 15 | 2b6d381c |
| hex | 1c25d720 |
472241952 has 288 divisors, whose sum is σ = 1701004032. Its totient is φ = 120932352.
The previous prime is 472241951. The next prime is 472241981. The reversal of 472241952 is 259142274.
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×4722419522 = 446024922457540608, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (40320) is a multiple of the sum of its prime factors (560).
It is not an unprimeable number, because it can be changed into a prime (472241951) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 969453 + ... + 969939.
It is an arithmetic number, because the mean of its divisors is an integer number (5906264).
Almost surely, 2472241952 is an apocalyptic number.
472241952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 472241952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850502016).
472241952 is an abundant number, since it is smaller than the sum of its proper divisors (1228762080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
472241952 is a wasteful number, since it uses less digits than its factorization.
472241952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 560 (or 549 counting only the distinct ones).
The product of its digits is 40320, while the sum is 36.
The square root of 472241952 is about 21731.1286407310. The cubic root of 472241952 is about 778.7322997522.
The spelling of 472241952 in words is "four hundred seventy-two million, two hundred forty-one thousand, nine hundred fifty-two".
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