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472610916 = 2233371011171
BaseRepresentation
bin11100001010110…
…111100001100100
31012221022010022000
4130022313201210
51431442022131
6114521405300
714466061251
oct3412674144
91187263260
10472610916
1122285a638
12112339830
1376bb563b
1446aa6428
152b757ce6
hex1c2b7864

472610916 has 96 divisors (see below), whose sum is σ = 1271948160. Its totient is φ = 151632000.

The previous prime is 472610867. The next prime is 472610917. The reversal of 472610916 is 619016274.

It is a super-2 number, since 2×4726109162 = 446722155844718112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (472610917) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 403011 + ... + 404181.

It is an arithmetic number, because the mean of its divisors is an integer number (13249460).

Almost surely, 2472610916 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 472610916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635974080).

472610916 is an abundant number, since it is smaller than the sum of its proper divisors (799337244).

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

472610916 is a wasteful number, since it uses less digits than its factorization.

472610916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322 (or 1314 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 472610916 is about 21739.6162799623. The cubic root of 472610916 is about 778.9350555545.

The spelling of 472610916 in words is "four hundred seventy-two million, six hundred ten thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 101 108 111 148 202 222 303 333 404 444 606 666 909 999 1171 1212 1332 1818 1998 2342 2727 3513 3636 3737 3996 4684 5454 7026 7474 10539 10908 11211 14052 14948 21078 22422 31617 33633 42156 43327 44844 63234 67266 86654 100899 118271 126468 129981 134532 173308 201798 236542 259962 354813 389943 403596 473084 519924 709626 779886 1064439 1169829 1419252 1559772 2128878 2339658 3193317 4257756 4376027 4679316 6386634 8752054 12773268 13128081 17504108 26256162 39384243 52512324 78768486 118152729 157536972 236305458 472610916