Search a number
-
+
82898748 = 22331971569
BaseRepresentation
bin1001111000011…
…10111100111100
312202222200201000
410330032330330
5132210224443
612120450300
72024425212
oct474167474
9182880630
1082898748
1142881069
1223919990
131423691a
14b01ccb2
1574278d3
hex4f0ef3c

82898748 has 96 divisors (see below), whose sum is σ = 229824000. Its totient is φ = 25764480.

The previous prime is 82898747. The next prime is 82898771. The reversal of 82898748 is 84789828.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2064384) is a multiple of the sum of its prime factors (672).

It is a junction number, because it is equal to n+sod(n) for n = 82898694 and 82898703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82898747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145408 + ... + 145976.

It is an arithmetic number, because the mean of its divisors is an integer number (2394000).

Almost surely, 282898748 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 82898748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).

82898748 is an abundant number, since it is smaller than the sum of its proper divisors (146925252).

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

82898748 is a wasteful number, since it uses less digits than its factorization.

82898748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 664 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 82898748 is about 9104.8749579552. The cubic root of 82898748 is about 436.0296181097.

The spelling of 82898748 in words is "eighty-two million, eight hundred ninety-eight thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 71 76 108 114 142 171 213 228 284 342 426 513 569 639 684 852 1026 1138 1278 1349 1707 1917 2052 2276 2556 2698 3414 3834 4047 5121 5396 6828 7668 8094 10242 10811 12141 15363 16188 20484 21622 24282 30726 32433 36423 40399 43244 48564 61452 64866 72846 80798 97299 121197 129732 145692 161596 194598 242394 291897 363591 389196 484788 583794 727182 767581 1090773 1167588 1454364 1535162 2181546 2302743 3070324 4363092 4605486 6908229 9210972 13816458 20724687 27632916 41449374 82898748