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35142198 = 2371324951
BaseRepresentation
bin1000011000001…
…1101000110110
32110010102000220
42012003220312
532444022243
63253115210
7604463250
oct206035066
973112026
1035142198
1118922943
12b928b06
137385700
14494acd0
153142783
hex2183a36

35142198 has 48 divisors (see below), whose sum is σ = 86996736. Its totient is φ = 9266400.

The previous prime is 35142197. The next prime is 35142199. The reversal of 35142198 is 89124153.

It is an interprime number because it is at equal distance from previous prime (35142197) and next prime (35142199).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35142197) 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 23 ways as a sum of consecutive naturals, for example, 4623 + ... + 9573.

It is an arithmetic number, because the mean of its divisors is an integer number (1812432).

Almost surely, 235142198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35142198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43498368).

35142198 is an abundant number, since it is smaller than the sum of its proper divisors (51854538).

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

35142198 is a wasteful number, since it uses less digits than its factorization.

35142198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4989 (or 4976 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 35142198 is about 5928.0855256988. The cubic root of 35142198 is about 327.5490220501.

The spelling of 35142198 in words is "thirty-five million, one hundred forty-two thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 169 182 273 338 507 546 1014 1183 2366 3549 4951 7098 9902 14853 29706 34657 64363 69314 103971 128726 193089 207942 386178 450541 836719 901082 1351623 1673438 2510157 2703246 5020314 5857033 11714066 17571099 35142198