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83141355 = 35114771151
BaseRepresentation
bin1001111010010…
…10001011101011
312210110000111110
410331022023223
5132241010410
612130001403
72026455423
oct475121353
9183400443
1083141355
1142a27370
1223a16263
13142c018b
14b083483
157474720
hex4f4a2eb

83141355 has 64 divisors (see below), whose sum is σ = 151289856. Its totient is φ = 38640000.

The previous prime is 83141351. The next prime is 83141381. The reversal of 83141355 is 55314138.

It is not a de Polignac number, because 83141355 - 22 = 83141351 is a prime.

It is a super-2 number, since 2×831413552 = 13824969822472050, which contains 22 as substring.

Its product of digits (7200) is a multiple of the sum of its prime divisors (288).

It is not an unprimeable number, because it can be changed into a prime (83141351) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 550530 + ... + 550680.

It is an arithmetic number, because the mean of its divisors is an integer number (2363904).

Almost surely, 283141355 is an apocalyptic number.

83141355 is a deficient number, since it is larger than the sum of its proper divisors (68148501).

83141355 is a wasteful number, since it uses less digits than its factorization.

83141355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288.

The product of its digits is 7200, while the sum is 30.

The square root of 83141355 is about 9118.1881423888. The cubic root of 83141355 is about 436.4545574235.

It can be divided in two parts, 8314 and 1355, that added together give a palindrome (9669).

The spelling of 83141355 in words is "eighty-three million, one hundred forty-one thousand, three hundred fifty-five".

Divisors: 1 3 5 11 15 33 47 55 71 141 151 165 213 235 355 453 517 705 755 781 1065 1551 1661 2265 2343 2585 3337 3905 4983 7097 7755 8305 10011 10721 11715 16685 21291 24915 32163 35485 36707 50055 53605 78067 106455 110121 117931 160815 183535 234201 353793 390335 503887 550605 589655 1171005 1511661 1768965 2519435 5542757 7558305 16628271 27713785 83141355