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83235276 = 2235194507
BaseRepresentation
bin1001111011000…
…01000111001100
312210121210100000
410331201013030
5132302012101
612132004300
72030326305
oct475410714
9183553300
1083235276
1142a90993
1223a60690
1314323b57
14b0a97ac
157492486
hex4f611cc

83235276 has 72 divisors (see below), whose sum is σ = 229727680. Its totient is φ = 26278992.

The previous prime is 83235223. The next prime is 83235283. The reversal of 83235276 is 67253238.

It is a super-2 number, since 2×832352762 = 13856222341592352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 83235276.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16215 + ... + 20721.

Almost surely, 283235276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83235276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114863840).

83235276 is an abundant number, since it is smaller than the sum of its proper divisors (146492404).

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

83235276 is a wasteful number, since it uses less digits than its factorization.

83235276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545 (or 4531 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 83235276 is about 9123.3368895377. The cubic root of 83235276 is about 436.6188431850.

The spelling of 83235276 in words is "eighty-three million, two hundred thirty-five thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 243 324 342 486 513 684 972 1026 1539 2052 3078 4507 4617 6156 9014 9234 13521 18028 18468 27042 40563 54084 81126 85633 121689 162252 171266 243378 256899 342532 365067 486756 513798 730134 770697 1027596 1095201 1460268 1541394 2190402 2312091 3082788 4380804 4624182 6936273 9248364 13872546 20808819 27745092 41617638 83235276