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82711480 = 23529113631
BaseRepresentation
bin1001110111000…
…01001110111000
312202122011211011
410323201032320
5132133231410
612112443304
72023015225
oct473411670
9182564734
1082711480
11427633a5
1223849534
131419c607
14adb094c
1573dc18a
hex4ee13b8

82711480 has 64 divisors (see below), whose sum is σ = 194529600. Its totient is φ = 31610880.

The previous prime is 82711469. The next prime is 82711483. The reversal of 82711480 is 8411728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82711483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130765 + ... + 131395.

It is an arithmetic number, because the mean of its divisors is an integer number (3039525).

Almost surely, 282711480 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 82711480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97264800).

82711480 is an abundant number, since it is smaller than the sum of its proper divisors (111818120).

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

82711480 is a wasteful number, since it uses less digits than its factorization.

82711480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 31.

The square root of 82711480 is about 9094.5852021959. The cubic root of 82711480 is about 435.7010407410.

The spelling of 82711480 in words is "eighty-two million, seven hundred eleven thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 113 116 145 226 232 290 452 565 580 631 904 1130 1160 1262 2260 2524 3155 3277 4520 5048 6310 6554 12620 13108 16385 18299 25240 26216 32770 36598 65540 71303 73196 91495 131080 142606 146392 182990 285212 356515 365980 570424 713030 731960 1426060 2067787 2852120 4135574 8271148 10338935 16542296 20677870 41355740 82711480