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4740576 = 2531923113
BaseRepresentation
bin10010000101010111100000
322220211211220
4102011113200
52203144301
6245335040
755202631
oct22052740
98824756
104740576
112748735
121707480
13c9c999
148b5888
15639936
hex4855e0

4740576 has 96 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 1419264.

The previous prime is 4740559. The next prime is 4740583. The reversal of 4740576 is 6750474.

4740576 is nontrivially palindromic in base 15.

4740576 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41896 + ... + 42008.

It is an arithmetic number, because the mean of its divisors is an integer number (143640).

Almost surely, 24740576 is an apocalyptic number.

4740576 is a gapful number since it is divisible by the number (46) 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 4740576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

4740576 is an abundant number, since it is smaller than the sum of its proper divisors (9048864).

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

4740576 is a wasteful number, since it uses less digits than its factorization.

4740576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 4740576 is about 2177.2863844704. The cubic root of 4740576 is about 167.9875274187.

Subtracting from 4740576 its product of nonzero digits (23520), we obtain a triangular number (4717056 = T3071).

The spelling of 4740576 in words is "four million, seven hundred forty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 69 76 92 96 113 114 138 152 184 226 228 276 304 339 368 437 452 456 552 608 678 736 874 904 912 1104 1311 1356 1748 1808 1824 2147 2208 2599 2622 2712 3496 3616 4294 5198 5244 5424 6441 6992 7797 8588 10396 10488 10848 12882 13984 15594 17176 20792 20976 25764 31188 34352 41584 41952 49381 51528 62376 68704 83168 98762 103056 124752 148143 197524 206112 249504 296286 395048 592572 790096 1185144 1580192 2370288 4740576