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83048988 = 223112812239
BaseRepresentation
bin1001111001100…
…11101000011100
312210021022210110
410330303220130
5132230031423
612124010020
72025622221
oct474635034
9183238713
1083048988
1142973a30
1223990910
131428a119
14b05b948
157457193
hex4f33a1c

83048988 has 48 divisors (see below), whose sum is σ = 212244480. Its totient is φ = 25065600.

The previous prime is 83048971. The next prime is 83048993. The reversal of 83048988 is 88984038.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35973 + ... + 38211.

It is an arithmetic number, because the mean of its divisors is an integer number (4421760).

Almost surely, 283048988 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 83048988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106122240).

83048988 is an abundant number, since it is smaller than the sum of its proper divisors (129195492).

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

83048988 is a wasteful number, since it uses less digits than its factorization.

83048988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 48.

The square root of 83048988 is about 9113.1217483363. The cubic root of 83048988 is about 436.2928691900.

The spelling of 83048988 in words is "eighty-three million, forty-eight thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 281 562 843 1124 1686 2239 3091 3372 4478 6182 6717 8956 9273 12364 13434 18546 24629 26868 37092 49258 73887 98516 147774 295548 629159 1258318 1887477 2516636 3774954 6920749 7549908 13841498 20762247 27682996 41524494 83048988