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2473296 = 243717433
BaseRepresentation
bin1001011011110101010000
311122122201120
421123311100
51113121141
6125002240
730010530
oct11336520
94578646
102473296
11143a251
129b3380
136879b7
144854c0
1533cc66
hex25bd50

2473296 has 80 divisors (see below), whose sum is σ = 7749504. Its totient is φ = 663552.

The previous prime is 2473291. The next prime is 2473301. The reversal of 2473296 is 6923742.

2473296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2473291) and next prime (2473301).

It is a super-2 number, since 2×24732962 = 12234386207232, which contains 22 as substring.

It is an Ulam number.

It is a zygodrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2473291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5496 + ... + 5928.

22473296 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 2473296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3874752).

2473296 is an abundant number, since it is smaller than the sum of its proper divisors (5276208).

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

2473296 is a wasteful number, since it uses less digits than its factorization.

2473296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its digits is 18144, while the sum is 33.

The square root of 2473296 is about 1572.6716122573. The cubic root of 2473296 is about 135.2359112383.

The spelling of 2473296 in words is "two million, four hundred seventy-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 68 84 102 112 119 136 168 204 238 272 336 357 408 433 476 714 816 866 952 1299 1428 1732 1904 2598 2856 3031 3464 5196 5712 6062 6928 7361 9093 10392 12124 14722 18186 20784 22083 24248 29444 36372 44166 48496 51527 58888 72744 88332 103054 117776 145488 154581 176664 206108 309162 353328 412216 618324 824432 1236648 2473296