| Base | Representation |
|---|---|
| bin | 111010000101000… |
| … | …0111101110110100 |
| 3 | 12000211000210222020 |
| 4 | 1310022013232310 |
| 5 | 12442343411124 |
| 6 | 521213433140 |
| 7 | 66202420200 |
| oct | 16412075664 |
| 9 | 5024023866 |
| 10 | 1948810164 |
| 11 | 910063a14 |
| 12 | 46479b7b0 |
| 13 | 250993512 |
| 14 | 146b71b00 |
| 15 | b6150379 |
| hex | 74287bb4 |
1948810164 has 288 divisors, whose sum is σ = 6104125440. Its totient is φ = 479001600.
The previous prime is 1948810151. The next prime is 1948810177. The reversal of 1948810164 is 4610188491.
It is a happy number.
1948810164 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (1948810151) and next prime (1948810177).
It is a super-2 number, since 2×19488101642 = 7595722110619413792, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (42).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5887479 + ... + 5887809.
It is an arithmetic number, because the mean of its divisors is an integer number (21194880).
Almost surely, 21948810164 is an apocalyptic number.
1948810164 is a gapful number since it is divisible by the number (14) 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 1948810164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052062720).
1948810164 is an abundant number, since it is smaller than the sum of its proper divisors (4155315276).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1948810164 is a wasteful number, since it uses less digits than its factorization.
1948810164 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 419 (or 410 counting only the distinct ones).
The product of its (nonzero) digits is 55296, while the sum is 42.
The square root of 1948810164 is about 44145.3300361431. The cubic root of 1948810164 is about 1249.0788229664.
The spelling of 1948810164 in words is "one billion, nine hundred forty-eight million, eight hundred ten thousand, one hundred sixty-four".
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