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469760616 = 2332134112241
BaseRepresentation
bin11011111111111…
…111101001101000
31012201221022102100
4123333333221220
51430224314431
6114340333400
714432620323
oct3377775150
91181838370
10469760616
11221193116
121113a4260
1376428180
14465637ba
152b3934e6
hex1bfffa68

469760616 has 96 divisors (see below), whose sum is σ = 1403667720. Its totient is φ = 141004800.

The previous prime is 469760611. The next prime is 469760659. The reversal of 469760616 is 616067964.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 138156516 + 331604100 = 11754^2 + 18210^2 .

It is not an unprimeable number, because it can be changed into a prime (469760611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32256 + ... + 44496.

Almost surely, 2469760616 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 469760616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701833860).

469760616 is an abundant number, since it is smaller than the sum of its proper divisors (933907104).

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

469760616 is a wasteful number, since it uses less digits than its factorization.

469760616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12307 (or 12300 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 469760616 is about 21673.9617052352. The cubic root of 469760616 is about 777.3659869036.

The spelling of 469760616 in words is "four hundred sixty-nine million, seven hundred sixty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 41 52 72 78 82 104 117 123 156 164 234 246 312 328 369 468 492 533 738 936 984 1066 1476 1599 2132 2952 3198 4264 4797 6396 9594 12241 12792 19188 24482 36723 38376 48964 73446 97928 110169 146892 159133 220338 293784 318266 440676 477399 501881 636532 881352 954798 1003762 1273064 1432197 1505643 1909596 2007524 2864394 3011286 3819192 4015048 4516929 5728788 6022572 6524453 9033858 11457576 12045144 13048906 18067716 19573359 26097812 36135432 39146718 52195624 58720077 78293436 117440154 156586872 234880308 469760616