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4961280 = 210351719
BaseRepresentation
bin10010111011010000000000
3100100001121010
4102323100000
52232230110
6254200520
760112242
oct22732000
910301533
104961280
112889535
1217b3140
13104928c
14932092
15680020
hex4bb400

4961280 has 176 divisors, whose sum is σ = 17686080. Its totient is φ = 1179648.

The previous prime is 4961249. The next prime is 4961311. The reversal of 4961280 is 821694.

It is an interprime number because it is at equal distance from previous prime (4961249) and next prime (4961311).

It is a super-2 number, since 2×49612802 = 49228598476800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261111 + ... + 261129.

Almost surely, 24961280 is an apocalyptic number.

4961280 is a gapful number since it is divisible by the number (40) 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 4961280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8843040).

4961280 is an abundant number, since it is smaller than the sum of its proper divisors (12724800).

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

4961280 is a wasteful number, since it uses less digits than its factorization.

4961280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 4961280 is about 2227.3930950777. The cubic root of 4961280 is about 170.5550485441. Note that the first 3 decimals are identical.

The spelling of 4961280 in words is "four million, nine hundred sixty-one thousand, two hundred eighty".