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83308842 = 23231173863
BaseRepresentation
bin1001111011100…
…11000100101010
312210202112020200
410331303010222
5132311340332
612133333030
72031053631
oct475630452
9183675220
1083308842
1143031191
1223a97176
131434b496
14b0c8518
1574a917c
hex4f7312a

83308842 has 48 divisors (see below), whose sum is σ = 187619328. Its totient is φ = 26687520.

The previous prime is 83308837. The next prime is 83308871. The reversal of 83308842 is 24880338.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 83308797 and 83308806.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96103 + ... + 96965.

It is an arithmetic number, because the mean of its divisors is an integer number (3908736).

Almost surely, 283308842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83308842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93809664).

83308842 is an abundant number, since it is smaller than the sum of its proper divisors (104310486).

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

83308842 is a wasteful number, since it uses less digits than its factorization.

83308842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 83308842 is about 9127.3677476039. The cubic root of 83308842 is about 436.7474378748.

The spelling of 83308842 in words is "eighty-three million, three hundred eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 173 186 279 346 519 558 863 1038 1557 1726 2589 3114 5178 5363 7767 10726 15534 16089 26753 32178 48267 53506 80259 96534 149299 160518 240777 298598 447897 481554 895794 1343691 2687382 4628269 9256538 13884807 27769614 41654421 83308842