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472613344 = 25743139353
BaseRepresentation
bin11100001010111…
…000000111100000
31012221022020121221
4130022320013200
51431442111334
6114521424424
714466101320
oct3412700740
91187266557
10472613344
11222861445
1211233b114
1376bb6788
1446aa7280
152b7588b4
hex1c2b81e0

472613344 has 96 divisors (see below), whose sum is σ = 1099042560. Its totient is φ = 195858432.

The previous prime is 472613333. The next prime is 472613369. The reversal of 472613344 is 443316274.

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, 1338672 + ... + 1339024.

It is an arithmetic number, because the mean of its divisors is an integer number (11448360).

Almost surely, 2472613344 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 472613344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549521280).

472613344 is an abundant number, since it is smaller than the sum of its proper divisors (626429216).

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

472613344 is a wasteful number, since it uses less digits than its factorization.

472613344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its digits is 48384, while the sum is 34.

The square root of 472613344 is about 21739.6721226425. The cubic root of 472613344 is about 778.9363894573.

It can be divided in two parts, 47261 and 3344, that added together give a palindrome (50605).

The spelling of 472613344 in words is "four hundred seventy-two million, six hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 139 172 224 278 301 344 353 556 602 688 706 973 1112 1204 1376 1412 1946 2224 2408 2471 2824 3892 4448 4816 4942 5648 5977 7784 9632 9884 11296 11954 15179 15568 19768 23908 30358 31136 39536 41839 47816 49067 60716 79072 83678 95632 98134 106253 121432 167356 191264 196268 212506 242864 334712 343469 392536 425012 485728 669424 686938 785072 850024 1338848 1373876 1570144 1700048 2109881 2747752 3400096 4219762 5495504 8439524 10991008 14769167 16879048 29538334 33758096 59076668 67516192 118153336 236306672 472613344