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83425848 = 23311437349
BaseRepresentation
bin1001111100011…
…11101000111000
312210222110202020
410332033220320
5132324111343
612140034440
72032052022
oct476175070
9183873666
1083425848
1143101090
1223b32a20
131438c80c
14b119012
1574cdb83
hex4f8fa38

83425848 has 64 divisors (see below), whose sum is σ = 232848000. Its totient is φ = 24689280.

The previous prime is 83425847. The next prime is 83425871. The reversal of 83425848 is 84852438.

It is a happy number.

It is a super-2 number, since 2×834258482 = 13919744229038208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83425843) 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, 7678 + ... + 15026.

It is an arithmetic number, because the mean of its divisors is an integer number (3638250).

Almost surely, 283425848 is an apocalyptic number.

83425848 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83425848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116424000).

83425848 is an abundant number, since it is smaller than the sum of its proper divisors (149422152).

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

83425848 is a wasteful number, since it uses less digits than its factorization.

83425848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7412 (or 7408 counting only the distinct ones).

The product of its digits is 245760, while the sum is 42.

The square root of 83425848 is about 9133.7751231350. The cubic root of 83425848 is about 436.9518106005.

The spelling of 83425848 in words is "eighty-three million, four hundred twenty-five thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 946 1032 1419 1892 2838 3784 5676 7349 11352 14698 22047 29396 44094 58792 80839 88188 161678 176376 242517 316007 323356 485034 632014 646712 948021 970068 1264028 1896042 1940136 2528056 3476077 3792084 6952154 7584168 10428231 13904308 20856462 27808616 41712924 83425848