Search a number
-
+
4254880 = 255729131
BaseRepresentation
bin10000001110110010100000
322000011121011
4100032302200
52042124010
6231110304
751110620
oct20166240
98004534
104254880
112446833
121512394
13b5c8a6
147ca880
15590a8a
hex40eca0

4254880 has 96 divisors (see below), whose sum is σ = 11975040. Its totient is φ = 1397760.

The previous prime is 4254869. The next prime is 4254883. The reversal of 4254880 is 884524.

It is not an unprimeable number, because it can be changed into a prime (4254883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32415 + ... + 32545.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

Almost surely, 24254880 is an apocalyptic number.

4254880 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 4254880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5987520).

4254880 is an abundant number, since it is smaller than the sum of its proper divisors (7720160).

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

4254880 is a wasteful number, since it uses less digits than its factorization.

4254880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 4254880 is about 2062.7360470986. The cubic root of 4254880 is about 162.0425636267.

The spelling of 4254880 in words is "four million, two hundred fifty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 70 80 112 116 131 140 145 160 203 224 232 262 280 290 406 464 524 560 580 655 812 917 928 1015 1048 1120 1160 1310 1624 1834 2030 2096 2320 2620 3248 3668 3799 4060 4192 4585 4640 5240 6496 7336 7598 8120 9170 10480 14672 15196 16240 18340 18995 20960 26593 29344 30392 32480 36680 37990 53186 60784 73360 75980 106372 121568 132965 146720 151960 212744 265930 303920 425488 531860 607840 850976 1063720 2127440 4254880