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83975274 = 23217377417
BaseRepresentation
bin1010000000101…
…01110001101010
312212000101102100
411000111301222
5132444202044
612155514230
72036530605
oct500256152
9185011370
1083975274
1143446959
1224158976
1314522916
14b21d33c
15758b869
hex5015c6a

83975274 has 48 divisors (see below), whose sum is σ = 197882568. Its totient is φ = 25629696.

The previous prime is 83975273. The next prime is 83975293. The reversal of 83975274 is 47257938.

It can be written as a sum of positive squares in 4 ways, for example, as 82029249 + 1946025 = 9057^2 + 1395^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (83975273) 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, 7614 + ... + 15030.

Almost surely, 283975274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83975274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98941284).

83975274 is an abundant number, since it is smaller than the sum of its proper divisors (113907294).

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

83975274 is a wasteful number, since it uses less digits than its factorization.

83975274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7479 (or 7476 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 83975274 is about 9163.8023767430. The cubic root of 83975274 is about 437.9089383471.

The spelling of 83975274 in words is "eighty-three million, nine hundred seventy-five thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 17 18 34 37 51 74 102 111 153 222 306 333 629 666 1258 1887 3774 5661 7417 11322 14834 22251 44502 66753 126089 133506 252178 274429 378267 548858 756534 823287 1134801 1646574 2269602 2469861 4665293 4939722 9330586 13995879 27991758 41987637 83975274