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488776002 = 231113797211
BaseRepresentation
bin11101001000100…
…010000101000010
31021001201101121220
4131020202011002
52000111313002
6120300055510
715053345631
oct3510420502
91231641556
10488776002
112309a0710
12117834596
137a355390
1448cb3518
152cd9c7bc
hex1d222142

488776002 has 64 divisors (see below), whose sum is σ = 1163151360. Its totient is φ = 134971200.

The previous prime is 488775979. The next prime is 488776003. The reversal of 488776002 is 200677884.

It is a super-2 number, since 2×4887760022 = 477803960262208008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (488776003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64177 + ... + 71387.

It is an arithmetic number, because the mean of its divisors is an integer number (18174240).

Almost surely, 2488776002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488776002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581575680).

488776002 is an abundant number, since it is smaller than the sum of its proper divisors (674375358).

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

488776002 is a wasteful number, since it uses less digits than its factorization.

488776002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7319.

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 488776002 is about 22108.2790375009. The cubic root of 488776002 is about 787.7165284153.

The spelling of 488776002 in words is "four hundred eighty-eight million, seven hundred seventy-six thousand, two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 79 143 158 237 286 429 474 858 869 1027 1738 2054 2607 3081 5214 6162 7211 11297 14422 21633 22594 33891 43266 67782 79321 93743 158642 187486 237963 281229 475926 562458 569669 1031173 1139338 1709007 2062346 3093519 3418014 6187038 6266359 7405697 12532718 14811394 18799077 22217091 37598154 44434182 81462667 162925334 244388001 488776002