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81425088 = 2634113139
BaseRepresentation
bin1001101101001…
…11001011000000
312200012211020000
410312213023000
5131321100323
612025120000
72006046633
oct466471300
9180184200
1081425088
1141a64968
1223329000
1313b3bc34
14ab57c1a
157235e43
hex4da72c0

81425088 has 140 divisors (see below), whose sum is σ = 245257320. Its totient is φ = 26707968.

The previous prime is 81425081. The next prime is 81425159. The reversal of 81425088 is 88052418.

81425088 is a `hidden beast` number, since 8 + 142 + 508 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (81425081) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 585723 + ... + 585861.

It is an arithmetic number, because the mean of its divisors is an integer number (1751838).

Almost surely, 281425088 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 81425088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122628660).

81425088 is an abundant number, since it is smaller than the sum of its proper divisors (163832232).

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

81425088 is a wasteful number, since it uses less digits than its factorization.

81425088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 81425088 is about 9023.5850968448. The cubic root of 81425088 is about 433.4304434562.

The spelling of 81425088 in words is "eighty-one million, four hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 113 139 144 162 192 216 226 278 288 324 339 417 432 452 556 576 648 678 834 864 904 1017 1112 1251 1296 1356 1668 1728 1808 2034 2224 2502 2592 2712 3051 3336 3616 3753 4068 4448 5004 5184 5424 6102 6672 7232 7506 8136 8896 9153 10008 10848 11259 12204 13344 15012 15707 16272 18306 20016 21696 22518 24408 26688 30024 31414 32544 36612 40032 45036 47121 48816 60048 62828 65088 73224 80064 90072 94242 97632 120096 125656 141363 146448 180144 188484 195264 240192 251312 282726 292896 360288 376968 424089 502624 565452 585792 720576 753936 848178 1005248 1130904 1272267 1507872 1696356 2261808 2544534 3015744 3392712 4523616 5089068 6785424 9047232 10178136 13570848 20356272 27141696 40712544 81425088