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488426960 = 24576831277
BaseRepresentation
bin11101000111001…
…100110111010000
31021001001122211102
4131013030313100
52000014130320
6120244403532
715050363210
oct3507146720
91231048742
10488426960
1123078244a
121176a65a8
137a262548
1448c22240
152cd2e175
hex1d1ccdd0

488426960 has 80 divisors (see below), whose sum is σ = 1300738176. Its totient is φ = 167084544.

The previous prime is 488426933. The next prime is 488426969. The reversal of 488426960 is 69624884.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488426969) 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, 381842 + ... + 383118.

Almost surely, 2488426960 is an apocalyptic number.

488426960 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 488426960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650369088).

488426960 is an abundant number, since it is smaller than the sum of its proper divisors (812311216).

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

488426960 is a wasteful number, since it uses less digits than its factorization.

488426960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1980 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The square root of 488426960 is about 22100.3837070762. The cubic root of 488426960 is about 787.5289771818.

The spelling of 488426960 in words is "four hundred eighty-eight million, four hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 683 1277 1366 2554 2732 3415 4781 5108 5464 6385 6830 8939 9562 10216 10928 12770 13660 17878 19124 20432 23905 25540 27320 35756 38248 44695 47810 51080 54640 71512 76496 89390 95620 102160 143024 178780 191240 357560 382480 715120 872191 1744382 3488764 4360955 6105337 6977528 8721910 12210674 13955056 17443820 24421348 30526685 34887640 48842696 61053370 69775280 97685392 122106740 244213480 488426960