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472859616 = 25329315479
BaseRepresentation
bin11100001011110…
…100001111100000
31012221202202110010
4130023310033200
51432023001431
6114531004520
714501145315
oct3413641740
91187682403
10472859616
11222a0a479
12112439740
1376c718b8
1446b2cd0c
152b7a6846
hex1c2f43e0

472859616 has 96 divisors (see below), whose sum is σ = 1325721600. Its totient is φ = 147248640.

The previous prime is 472859609. The next prime is 472859627. The reversal of 472859616 is 616958274.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 83565 + ... + 89043.

It is an arithmetic number, because the mean of its divisors is an integer number (13809600).

Almost surely, 2472859616 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 472859616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662860800).

472859616 is an abundant number, since it is smaller than the sum of its proper divisors (852861984).

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

472859616 is a wasteful number, since it uses less digits than its factorization.

472859616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5552 (or 5544 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 472859616 is about 21745.3354998262. The cubic root of 472859616 is about 779.0716634712.

The spelling of 472859616 in words is "four hundred seventy-two million, eight hundred fifty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 87 93 96 116 124 174 186 232 248 348 372 464 496 696 744 899 928 992 1392 1488 1798 2697 2784 2976 3596 5394 5479 7192 10788 10958 14384 16437 21576 21916 28768 32874 43152 43832 65748 86304 87664 131496 158891 169849 175328 262992 317782 339698 476673 509547 525984 635564 679396 953346 1019094 1271128 1358792 1906692 2038188 2542256 2717584 3813384 4076376 4925621 5084512 5435168 7626768 8152752 9851242 14776863 15253536 16305504 19702484 29553726 39404968 59107452 78809936 118214904 157619872 236429808 472859616