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82950448 = 247372541
BaseRepresentation
bin1001111000110…
…11100100110000
312210002022121211
410330123210300
5132213403243
612121525504
72025032020
oct474334460
9183068554
1082950448
1142906999
1223943894
1314254309
14b033a80
157437d9d
hex4f1b930

82950448 has 60 divisors (see below), whose sum is σ = 189123312. Its totient is φ = 34525440.

The previous prime is 82950433. The next prime is 82950457. The reversal of 82950448 is 84405928.

It is a self number, because there is not a number n which added to its sum of digits gives 82950448.

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 11 ways as a sum of consecutive naturals, for example, 153058 + ... + 153598.

Almost surely, 282950448 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 82950448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94561656).

82950448 is an abundant number, since it is smaller than the sum of its proper divisors (106172864).

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

82950448 is a wasteful number, since it uses less digits than its factorization.

82950448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 82950448 is about 9107.7136538211. The cubic root of 82950448 is about 436.1202429066.

The spelling of 82950448 in words is "eighty-two million, nine hundred fifty thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 37 56 74 112 148 259 296 518 541 592 1036 1082 1369 2072 2164 2738 3787 4144 4328 5476 7574 8656 9583 10952 15148 19166 20017 21904 30296 38332 40034 60592 76664 80068 140119 153328 160136 280238 320272 560476 740629 1120952 1481258 2241904 2962516 5184403 5925032 10368806 11850064 20737612 41475224 82950448