Search a number
-
+
4081647456 = 253329162901
BaseRepresentation
bin1111001101001000…
…1111111101100000
3101112110100011201000
43303102033331200
531324400204311
61513003512000
7203101300545
oct36322177540
911473304630
104081647456
111804a90167
1295ab28600
1350080a913
142aa128bcc
1518d502056
hexf348ff60

4081647456 has 96 divisors (see below), whose sum is σ = 12315391200. Its totient is φ = 1313625600.

The previous prime is 4081647403. The next prime is 4081647473. The reversal of 4081647456 is 6547461804.

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

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, 56395 + ... + 106506.

It is an arithmetic number, because the mean of its divisors is an integer number (128285325).

Almost surely, 24081647456 is an apocalyptic number.

It is an amenable number.

4081647456 is an abundant number, since it is smaller than the sum of its proper divisors (8233743744).

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

4081647456 is a wasteful number, since it uses less digits than its factorization.

4081647456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162949 (or 162935 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4081647456 is about 63887.7723512097. The cubic root of 4081647456 is about 1598.1289921004.

The spelling of 4081647456 in words is "four billion, eighty-one million, six hundred forty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 6264 8352 12528 25056 162901 325802 488703 651604 977406 1303208 1466109 1954812 2606416 2932218 3909624 4398327 4724129 5212832 5864436 7819248 8796654 9448258 11728872 14172387 15638496 17593308 18896516 23457744 28344774 35186616 37793032 42517161 46915488 56689548 70373232 75586064 85034322 113379096 127551483 140746464 151172128 170068644 226758192 255102966 340137288 453516384 510205932 680274576 1020411864 1360549152 2040823728 4081647456