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2375296 = 27711241
BaseRepresentation
bin1001000011111010000000
311110200021221
421003322000
51102002141
6122524424
726122030
oct11037200
94420257
102375296
111382660
12966714
13652201
1445b8c0
1531dbd1
hex243e80

2375296 has 64 divisors (see below), whose sum is σ = 5924160. Its totient is φ = 921600.

The previous prime is 2375273. The next prime is 2375299. The reversal of 2375296 is 6925732.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a d-powerful number, because it can be written as 213 + 311 + 73 + 57 + 221 + 94 + 65 .

It is not an unprimeable number, because it can be changed into a prime (2375299) 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, 9736 + ... + 9976.

It is an arithmetic number, because the mean of its divisors is an integer number (92565).

22375296 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 2375296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2962080).

2375296 is an abundant number, since it is smaller than the sum of its proper divisors (3548864).

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

2375296 is a wasteful number, since it uses less digits than its factorization.

2375296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its digits is 22680, while the sum is 34.

The square root of 2375296 is about 1541.1995328315. The cubic root of 2375296 is about 133.4256249910.

The spelling of 2375296 in words is "two million, three hundred seventy-five thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 241 308 352 448 482 616 704 896 964 1232 1408 1687 1928 2464 2651 3374 3856 4928 5302 6748 7712 9856 10604 13496 15424 18557 21208 26992 30848 37114 42416 53984 74228 84832 107968 148456 169664 215936 296912 339328 593824 1187648 2375296