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189498400 = 255271319137
BaseRepresentation
bin10110100101110…
…00010000100000
3111012120111221021
423102320100200
5342002422100
630445335224
74460465320
oct1322702040
9435514837
10189498400
1197a6aa53
1253567514
133034b340
141b24b280
1511982a1a
hexb4b8420

189498400 has 288 divisors, whose sum is σ = 603711360. Its totient is φ = 56401920.

The previous prime is 189498359. The next prime is 189498409. The reversal of 189498400 is 4894981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (189498409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1383132 + ... + 1383268.

It is an arithmetic number, because the mean of its divisors is an integer number (2096220).

Almost surely, 2189498400 is an apocalyptic number.

189498400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189498400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301855680).

189498400 is an abundant number, since it is smaller than the sum of its proper divisors (414212960).

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

189498400 is a wasteful number, since it uses less digits than its factorization.

189498400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The square root of 189498400 is about 13765.8417831966. The cubic root of 189498400 is about 574.3833591028.

The spelling of 189498400 in words is "one hundred eighty-nine million, four hundred ninety-eight thousand, four hundred".