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490009472 = 2713927541
BaseRepresentation
bin11101001101001…
…111001110000000
31021011001001121222
4131031033032000
52000420300342
6120342334212
715100004021
oct3515171600
91234031558
10490009472
11231663407
1211812a368
137a697944
1449114c48
152d042ed2
hex1d34f380

490009472 has 32 divisors (see below), whose sum is σ = 983249400. Its totient is φ = 243233280.

The previous prime is 490009453. The next prime is 490009489. The reversal of 490009472 is 274900094.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4022 + ... + 31562.

Almost surely, 2490009472 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 490009472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491624700).

490009472 is an abundant number, since it is smaller than the sum of its proper divisors (493239928).

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

490009472 is a wasteful number, since it uses less digits than its factorization.

490009472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27694 (or 27682 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 35.

The square root of 490009472 is about 22136.1575708161. The cubic root of 490009472 is about 788.3785961920.

The spelling of 490009472 in words is "four hundred ninety million, nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 139 278 556 1112 2224 4448 8896 17792 27541 55082 110164 220328 440656 881312 1762624 3525248 3828199 7656398 15312796 30625592 61251184 122502368 245004736 490009472