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488041164 = 2232138831181
BaseRepresentation
bin11101000101101…
…110101011001100
31021000100001121200
4131011232223030
51444414304124
6120232225500
715044165352
oct3505565314
91230301550
10488041164
11230539606
1211753b290
137a158a70
1448b617d2
152cca4bc9
hex1d16eacc

488041164 has 72 divisors (see below), whose sum is σ = 1331187312. Its totient is φ = 149869440.

The previous prime is 488041159. The next prime is 488041187. The reversal of 488041164 is 461140884.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412654 + ... + 413834.

Almost surely, 2488041164 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 488041164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665593656).

488041164 is an abundant number, since it is smaller than the sum of its proper divisors (843146148).

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

488041164 is a wasteful number, since it uses less digits than its factorization.

488041164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2087 (or 2082 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 488041164 is about 22091.6537180900. The cubic root of 488041164 is about 787.3215728792.

The spelling of 488041164 in words is "four hundred eighty-eight million, forty-one thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 883 1181 1766 2362 2649 3532 3543 4724 5298 7086 7947 10596 10629 11479 14172 15353 15894 21258 22958 30706 31788 34437 42516 45916 46059 61412 68874 92118 103311 137748 138177 184236 206622 276354 413244 552708 1042823 2085646 3128469 4171292 6256938 9385407 12513876 13556699 18770814 27113398 37541628 40670097 54226796 81340194 122010291 162680388 244020582 488041164