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488913696 = 25322397103
BaseRepresentation
bin11101001001000…
…011101100100000
31021001222101111200
4131021003230200
52000130214241
6120303041200
715054461235
oct3511035440
91231871450
10488913696
11230a85107
121178a0200
137a3a2c5b
1448d0b78c
152cdc84b6
hex1d243b20

488913696 has 72 divisors (see below), whose sum is σ = 1396362240. Its totient is φ = 162266496.

The previous prime is 488913683. The next prime is 488913701. The reversal of 488913696 is 696319884.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65281 + ... + 72383.

It is an arithmetic number, because the mean of its divisors is an integer number (19393920).

Almost surely, 2488913696 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 488913696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698181120).

488913696 is an abundant number, since it is smaller than the sum of its proper divisors (907448544).

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

488913696 is a wasteful number, since it uses less digits than its factorization.

488913696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7358 (or 7347 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 488913696 is about 22111.3929004936. The cubic root of 488913696 is about 787.7904911682.

The spelling of 488913696 in words is "four hundred eighty-eight million, nine hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 239 288 478 717 956 1434 1912 2151 2868 3824 4302 5736 7103 7648 8604 11472 14206 17208 21309 22944 28412 34416 42618 56824 63927 68832 85236 113648 127854 170472 227296 255708 340944 511416 681888 1022832 1697617 2045664 3395234 5092851 6790468 10185702 13580936 15278553 20371404 27161872 30557106 40742808 54323744 61114212 81485616 122228424 162971232 244456848 488913696