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2250976 = 25713773
BaseRepresentation
bin1000100101100011100000
311020100202111
420211203200
51034012401
6120125104
725063420
oct10454340
94210674
102250976
1112a8212
12906794
1360a750
14428480
152e6e51
hex2258e0

2250976 has 48 divisors (see below), whose sum is σ = 5461344. Its totient is φ = 889344.

The previous prime is 2250931. The next prime is 2250977. The reversal of 2250976 is 6790522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2526 + ... + 3298.

It is an arithmetic number, because the mean of its divisors is an integer number (113778).

22250976 is an apocalyptic number.

2250976 is a gapful number since it is divisible by the number (26) 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 2250976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730672).

2250976 is an abundant number, since it is smaller than the sum of its proper divisors (3210368).

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

2250976 is a wasteful number, since it uses less digits than its factorization.

2250976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 2250976 is about 1500.3252980604. The cubic root of 2250976 is about 131.0560139611.

The spelling of 2250976 in words is "two million, two hundred fifty thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 773 1456 1546 2912 3092 5411 6184 10049 10822 12368 20098 21644 24736 40196 43288 70343 80392 86576 140686 160784 173152 281372 321568 562744 1125488 2250976