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642198375 = 34537131741
BaseRepresentation
bin100110010001110…
…010101101100111
31122202102001120000
4212101302231213
52303400322000
6143420312343
721625411320
oct4621625547
91582361500
10642198375
112aa560165
1215b0a26b3
13a3081c50
146140d447
153b5a6000
hex26472b67

642198375 has 320 divisors, whose sum is σ = 1598268672. Its totient is φ = 248832000.

The previous prime is 642198373. The next prime is 642198379. The reversal of 642198375 is 573891246.

642198375 is a `hidden beast` number, since 64 + 219 + 8 + 375 = 666.

It is not a de Polignac number, because 642198375 - 21 = 642198373 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

Its product of digits (362880) is a multiple of the sum of its prime factors (105).

It is a self number, because there is not a number n which added to its sum of digits gives 642198375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642198373) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 15663355 + ... + 15663395.

Almost surely, 2642198375 is an apocalyptic number.

642198375 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

642198375 is an abundant number, since it is smaller than the sum of its proper divisors (956070297).

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

642198375 is a wasteful number, since it uses less digits than its factorization.

642198375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 86 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 642198375 is about 25341.6332346595. The cubic root of 642198375 is about 862.7594682494.

The spelling of 642198375 in words is "six hundred forty-two million, one hundred ninety-eight thousand, three hundred seventy-five".