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633113404 = 2271115113613
BaseRepresentation
bin100101101111001…
…000101100111100
31122010022111022121
4211233020230330
52244034112104
6142453452324
721455242450
oct4557105474
91563274277
10633113404
112a5415520
121580410a4
13a1220a21
1460126660
153a8ae254
hex25bc8b3c

633113404 has 48 divisors (see below), whose sum is σ = 1390588416. Its totient is φ = 245016000.

The previous prime is 633113389. The next prime is 633113407. The reversal of 633113404 is 404311336.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (633113407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39702 + ... + 53314.

It is an arithmetic number, because the mean of its divisors is an integer number (28970592).

Almost surely, 2633113404 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 633113404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695294208).

633113404 is an abundant number, since it is smaller than the sum of its proper divisors (757475012).

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

633113404 is a wasteful number, since it uses less digits than its factorization.

633113404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13786 (or 13784 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 633113404 is about 25161.7448520567. The cubic root of 633113404 is about 858.6717390067.

The spelling of 633113404 in words is "six hundred thirty-three million, one hundred thirteen thousand, four hundred four".

Divisors: 1 2 4 7 11 14 22 28 44 77 151 154 302 308 604 1057 1661 2114 3322 4228 6644 11627 13613 23254 27226 46508 54452 95291 149743 190582 299486 381164 598972 1048201 2055563 2096402 4111126 4192804 8222252 14388941 22611193 28777882 45222386 57555764 90444772 158278351 316556702 633113404