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83001424 = 24111924821
BaseRepresentation
bin1001111001010…
…00000001010000
312210011220112211
410330220001100
5132222021144
612123001504
72025333442
oct474500120
9183156484
1083001424
1142941220
1223969294
131427158c
14b048492
157448034
hex4f28050

83001424 has 40 divisors (see below), whose sum is σ = 184675680. Its totient is φ = 35740800.

The previous prime is 83001407. The next prime is 83001427. The reversal of 83001424 is 42410038.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 83001395 and 83001404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83001427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9067 + ... + 15754.

It is an arithmetic number, because the mean of its divisors is an integer number (4616892).

Almost surely, 283001424 is an apocalyptic number.

It is an amenable number.

83001424 is an abundant number, since it is smaller than the sum of its proper divisors (101674256).

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

83001424 is a wasteful number, since it uses less digits than its factorization.

83001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24859 (or 24853 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 83001424 is about 9110.5117309622. The cubic root of 83001424 is about 436.2095617451.

It can be divided in two parts, 830014 and 24, that added together give a palindrome (830038).

The spelling of 83001424 in words is "eighty-three million, one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 152 176 209 304 418 836 1672 3344 24821 49642 99284 198568 273031 397136 471599 546062 943198 1092124 1886396 2184248 3772792 4368496 5187589 7545584 10375178 20750356 41500712 83001424