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420488688 = 2438998429
BaseRepresentation
bin11001000100000…
…010010111110000
31002022020001001010
4121010002113300
51330121114223
6105420310520
713264044354
oct3104022760
91068201033
10420488688
111a639a414
12b89a2440
1369166299
143dbb9464
1526dae393
hex191025f0

420488688 has 40 divisors (see below), whose sum is σ = 1098478800. Its totient is φ = 138586624.

The previous prime is 420488669. The next prime is 420488689. The reversal of 420488688 is 886884024.

It is a super-2 number, since 2×4204886882 = 353621473471922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420488689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44943 + ... + 53486.

It is an arithmetic number, because the mean of its divisors is an integer number (27461970).

Almost surely, 2420488688 is an apocalyptic number.

420488688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420488688 is an abundant number, since it is smaller than the sum of its proper divisors (677990112).

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

420488688 is a wasteful number, since it uses less digits than its factorization.

420488688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98529 (or 98523 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 48.

The square root of 420488688 is about 20505.8208321442. The cubic root of 420488688 is about 749.1775802751.

The spelling of 420488688 in words is "four hundred twenty million, four hundred eighty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 534 712 1068 1424 2136 4272 98429 196858 295287 393716 590574 787432 1181148 1574864 2362296 4724592 8760181 17520362 26280543 35040724 52561086 70081448 105122172 140162896 210244344 420488688