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488490640 = 245113891427
BaseRepresentation
bin11101000111011…
…100011010010000
31021001011220011221
4131013130122100
52000023200030
6120250014424
715051046651
oct3507343220
91231156157
10488490640
11230816280
12117717414
137a285521
1448c3b528
152cd42e7a
hex1d1dc690

488490640 has 80 divisors (see below), whose sum is σ = 1243045440. Its totient is φ = 177052160.

The previous prime is 488490637. The next prime is 488490661. The reversal of 488490640 is 46094884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

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, 341607 + ... + 343033.

It is an arithmetic number, because the mean of its divisors is an integer number (15538068).

Almost surely, 2488490640 is an apocalyptic number.

488490640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488490640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621522720).

488490640 is an abundant number, since it is smaller than the sum of its proper divisors (754554800).

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

488490640 is a wasteful number, since it uses less digits than its factorization.

488490640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1840 (or 1834 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 488490640 is about 22101.8243590886. The cubic root of 488490640 is about 787.5632011089.

The spelling of 488490640 in words is "four hundred eighty-eight million, four hundred ninety thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 389 440 778 880 1427 1556 1945 2854 3112 3890 4279 5708 6224 7135 7780 8558 11416 14270 15560 15697 17116 21395 22832 28540 31120 31394 34232 42790 57080 62788 68464 78485 85580 114160 125576 156970 171160 251152 313940 342320 555103 627880 1110206 1255760 2220412 2775515 4440824 5551030 6106133 8881648 11102060 12212266 22204120 24424532 30530665 44408240 48849064 61061330 97698128 122122660 244245320 488490640