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42001351 = 7131163281
BaseRepresentation
bin1010000000111…
…0001111000111
32221000220000121
42200032033013
541223020401
64100122411
71020001630
oct240161707
987026017
1042001351
1121788267
1212096407
138917792
145814887
153a49ca1
hex280e3c7

42001351 has 16 divisors (see below), whose sum is σ = 48837888. Its totient is φ = 35380800.

The previous prime is 42001319. The next prime is 42001357. The reversal of 42001351 is 15310024.

It is not a de Polignac number, because 42001351 - 25 = 42001319 is a prime.

It is a super-3 number, since 3×420013513 (a number of 24 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42001357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149331 + ... + 149611.

It is an arithmetic number, because the mean of its divisors is an integer number (3052368).

Almost surely, 242001351 is an apocalyptic number.

42001351 is a deficient number, since it is larger than the sum of its proper divisors (6836537).

42001351 is a wasteful number, since it uses less digits than its factorization.

42001351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 42001351 is about 6480.8449294826. The cubic root of 42001351 is about 347.6063915217.

Adding to 42001351 its reverse (15310024), we get a palindrome (57311375).

The spelling of 42001351 in words is "forty-two million, one thousand, three hundred fifty-one".

Divisors: 1 7 131 163 281 917 1141 1967 21353 36811 45803 149471 257677 320621 6000193 42001351