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488085884 = 2211137311689
BaseRepresentation
bin11101000101111…
…001100101111100
31021000102022221222
4131011321211330
51444422222014
6120233212512
715044442626
oct3505714574
91230368858
10488085884
1123056a170
12117561138
137a173220
1448b73c16
152ccb308e
hex1d17997c

488085884 has 48 divisors (see below), whose sum is σ = 1017310560. Its totient is φ = 201968640.

The previous prime is 488085883. The next prime is 488085887. The reversal of 488085884 is 488580884.

It is a super-2 number, since 2×4880858842 = 476455660320122912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488085883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35912 + ... + 47600.

It is an arithmetic number, because the mean of its divisors is an integer number (21193970).

Almost surely, 2488085884 is an apocalyptic number.

488085884 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

488085884 is an abundant number, since it is smaller than the sum of its proper divisors (529224676).

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

488085884 is a wasteful number, since it uses less digits than its factorization.

488085884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11790 (or 11788 counting only the distinct ones).

The product of its (nonzero) digits is 2621440, while the sum is 53.

The square root of 488085884 is about 22092.6658418580. The cubic root of 488085884 is about 787.3456199938.

The spelling of 488085884 in words is "four hundred eighty-eight million, eighty-five thousand, eight hundred eighty-four".

Divisors: 1 2 4 11 13 22 26 44 52 73 143 146 286 292 572 803 949 1606 1898 3212 3796 10439 11689 20878 23378 41756 46756 128579 151957 257158 303914 514316 607828 853297 1671527 1706594 3343054 3413188 6686108 9386267 11092861 18772534 22185722 37545068 44371444 122021471 244042942 488085884