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487182640 = 24576911259
BaseRepresentation
bin11101000010011…
…101000100110000
31020221201102221111
4131002131010300
51444204321030
6120202003104
715033661360
oct3502350460
91227642844
10487182640
1123000258a
121171a6494
1379c18069
14489ba9a0
152cb8562a
hex1d09d130

487182640 has 80 divisors (see below), whose sum is σ = 1297416960. Its totient is φ = 166659840.

The previous prime is 487182637. The next prime is 487182649. The reversal of 487182640 is 46281784.

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 487182593 and 487182602.

It is not an unprimeable number, because it can be changed into a prime (487182649) 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, 386331 + ... + 387589.

It is an arithmetic number, because the mean of its divisors is an integer number (16217712).

Almost surely, 2487182640 is an apocalyptic number.

487182640 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 487182640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648708480).

487182640 is an abundant number, since it is smaller than the sum of its proper divisors (810234320).

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

487182640 is a wasteful number, since it uses less digits than its factorization.

487182640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1970 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The square root of 487182640 is about 22072.2142070070. The cubic root of 487182640 is about 786.8596369783.

The spelling of 487182640 in words is "four hundred eighty-seven million, one hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 691 1259 1382 2518 2764 3455 4837 5036 5528 6295 6910 8813 9674 10072 11056 12590 13820 17626 19348 20144 24185 25180 27640 35252 38696 44065 48370 50360 55280 70504 77392 88130 96740 100720 141008 176260 193480 352520 386960 705040 869969 1739938 3479876 4349845 6089783 6959752 8699690 12179566 13919504 17399380 24359132 30448915 34798760 48718264 60897830 69597520 97436528 121795660 243591320 487182640