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204690464 = 25113731559
BaseRepresentation
bin11000011001101…
…01010000100000
3112021011100112022
430030311100200
5404400043324
632151121012
75033561126
oct1414652040
9467140468
10204690464
11a55a6a80
1258673168
133353a224
141d283916
1512e8405e
hexc335420

204690464 has 48 divisors (see below), whose sum is σ = 441080640. Its totient is φ = 92732160.

The previous prime is 204690463. The next prime is 204690481. The reversal of 204690464 is 464096402.

It is not an unprimeable number, because it can be changed into a prime (204690463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130517 + ... + 132075.

It is an arithmetic number, because the mean of its divisors is an integer number (9189180).

Almost surely, 2204690464 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 204690464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220540320).

204690464 is an abundant number, since it is smaller than the sum of its proper divisors (236390176).

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

204690464 is a wasteful number, since it uses less digits than its factorization.

204690464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 35.

The square root of 204690464 is about 14307.0075138025. The cubic root of 204690464 is about 589.3399340434.

The spelling of 204690464 in words is "two hundred four million, six hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 373 746 1492 1559 2984 3118 4103 5968 6236 8206 11936 12472 16412 17149 24944 32824 34298 49888 65648 68596 131296 137192 274384 548768 581507 1163014 2326028 4652056 6396577 9304112 12793154 18608224 25586308 51172616 102345232 204690464