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82848870 = 2325133419
BaseRepresentation
bin1001111000000…
…10110001100110
312202220011021200
410330002301212
5132202130440
612115423330
72024126616
oct474026146
9182804250
1082848870
1142847645
12238b4b46
131421a000
14b008a46
157417c30
hex4f02c66

82848870 has 96 divisors (see below), whose sum is σ = 233906400. Its totient is φ = 20344896.

The previous prime is 82848869. The next prime is 82848877. The reversal of 82848870 is 7884828.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82848877) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 197521 + ... + 197939.

It is an arithmetic number, because the mean of its divisors is an integer number (2436525).

Almost surely, 282848870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82848870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116953200).

82848870 is an abundant number, since it is smaller than the sum of its proper divisors (151057530).

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

82848870 is a wasteful number, since it uses less digits than its factorization.

82848870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The square root of 82848870 is about 9102.1354637250. The cubic root of 82848870 is about 435.9421513744.

The spelling of 82848870 in words is "eighty-two million, eight hundred forty-eight thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 169 195 234 338 390 419 507 585 838 845 1014 1170 1257 1521 1690 2095 2197 2514 2535 3042 3771 4190 4394 5070 5447 6285 6591 7542 7605 10894 10985 12570 13182 15210 16341 18855 19773 21970 27235 32682 32955 37710 39546 49023 54470 65910 70811 81705 98046 98865 141622 163410 197730 212433 245115 354055 424866 490230 637299 708110 920543 1062165 1274598 1841086 2124330 2761629 3186495 4602715 5523258 6372990 8284887 9205430 13808145 16569774 27616290 41424435 82848870