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633068772 = 223725033011
BaseRepresentation
bin100101101110111…
…101110011100100
31122010020020002120
4211232331303210
52244031200042
6142452505540
721454665360
oct4556756344
91563206076
10633068772
112a5394a36
1215801b2b0
13a120660b
14601142a0
153a8a0dec
hex25bbdce4

633068772 has 48 divisors (see below), whose sum is σ = 1689418752. Its totient is φ = 180744480.

The previous prime is 633068749. The next prime is 633068789. The reversal of 633068772 is 277860336.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 208747 + ... + 211757.

It is an arithmetic number, because the mean of its divisors is an integer number (35196224).

Almost surely, 2633068772 is an apocalyptic number.

It is an amenable number.

633068772 is an abundant number, since it is smaller than the sum of its proper divisors (1056349980).

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

633068772 is a wasteful number, since it uses less digits than its factorization.

633068772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5528 (or 5526 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 633068772 is about 25160.8579344982. The cubic root of 633068772 is about 858.6515608746.

It can be divided in two parts, 6 and 33068772, that added together give a triangular number (33068778 = T8132).

The spelling of 633068772 in words is "six hundred thirty-three million, sixty-eight thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 2503 3011 5006 6022 7509 9033 10012 12044 15018 17521 18066 21077 30036 35042 36132 42154 52563 63231 70084 84308 105126 126462 210252 252924 7536533 15073066 22609599 30146132 45219198 52755731 90438396 105511462 158267193 211022924 316534386 633068772