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2276928 = 26325967
BaseRepresentation
bin1000101011111001000000
311021200100200
420223321000
51040330203
6120445200
725232163
oct10537100
94250320
102276928
111315765
12919800
136194c4
14433ada
152ee9a3
hex22be40

2276928 has 84 divisors (see below), whose sum is σ = 6736080. Its totient is φ = 734976.

The previous prime is 2276921. The next prime is 2276951. The reversal of 2276928 is 8296722.

It is a super-2 number, since 2×22769282 = 10368802234368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 29 + 211 + 76 + 6 + 95 + 221 + 83 .

Its product of digits (24192) is a multiple of the sum of its prime factors (144).

It is a junction number, because it is equal to n+sod(n) for n = 2276892 and 2276901.

It is not an unprimeable number, because it can be changed into a prime (2276921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33951 + ... + 34017.

22276928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2276928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368040).

2276928 is an abundant number, since it is smaller than the sum of its proper divisors (4459152).

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

2276928 is a wasteful number, since it uses less digits than its factorization.

2276928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 131 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2276928 is about 1508.9493033233. The cubic root of 2276928 is about 131.5577485904.

The spelling of 2276928 in words is "two million, two hundred seventy-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 59 64 67 72 96 118 134 144 177 192 201 236 268 288 354 402 472 531 536 576 603 708 804 944 1062 1072 1206 1416 1608 1888 2124 2144 2412 2832 3216 3776 3953 4248 4288 4824 5664 6432 7906 8496 9648 11328 11859 12864 15812 16992 19296 23718 31624 33984 35577 38592 47436 63248 71154 94872 126496 142308 189744 252992 284616 379488 569232 758976 1138464 2276928