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488340198 = 233175310037
BaseRepresentation
bin11101000110110…
…111101011100110
31021000220020211000
4131012313223212
52000003341243
6120242454130
715046552233
oct3506675346
91230806730
10488340198
11230723245
12117664346
137a231bc8
1448bdc78a
152cd135d3
hex1d1b7ae6

488340198 has 64 divisors (see below), whose sum is σ = 1170832320. Its totient is φ = 150299136.

The previous prime is 488340169. The next prime is 488340239. The reversal of 488340198 is 891043884.

It is a super-2 number, since 2×4883401982 = 476952297965358408, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43636 + ... + 53672.

It is an arithmetic number, because the mean of its divisors is an integer number (18294255).

Almost surely, 2488340198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 488340198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585416160).

488340198 is an abundant number, since it is smaller than the sum of its proper divisors (682492122).

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

488340198 is a wasteful number, since it uses less digits than its factorization.

488340198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10118 (or 10112 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 488340198 is about 22098.4207128021. The cubic root of 488340198 is about 787.4823433683.

The spelling of 488340198 in words is "four hundred eighty-eight million, three hundred forty thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 53 54 102 106 153 159 306 318 459 477 901 918 954 1431 1802 2703 2862 5406 8109 10037 16218 20074 24327 30111 48654 60222 90333 170629 180666 270999 341258 511887 531961 541998 1023774 1063922 1535661 1595883 3071322 3191766 4606983 4787649 9043337 9213966 9575298 14362947 18086674 27130011 28725894 54260022 81390033 162780066 244170099 488340198