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84382496 = 25112193137
BaseRepresentation
bin1010000011110…
…01001100100000
312212210002000122
411001321030200
5133100214441
612212335412
72043145052
oct501711440
9185702018
1084382496
11436a4900
1224314568
1314636093
14b2c78d2
15761c34b
hex5079320

84382496 has 144 divisors (see below), whose sum is σ = 203777280. Its totient is φ = 34214400.

The previous prime is 84382457. The next prime is 84382499. The reversal of 84382496 is 69428348.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (84382499) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2280590 + ... + 2280626.

It is an arithmetic number, because the mean of its divisors is an integer number (1415120).

Almost surely, 284382496 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 84382496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101888640).

84382496 is an abundant number, since it is smaller than the sum of its proper divisors (119394784).

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

84382496 is a wasteful number, since it uses less digits than its factorization.

84382496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The square root of 84382496 is about 9185.9945569329. The cubic root of 84382496 is about 438.6156490507.

The spelling of 84382496 in words is "eighty-four million, three hundred eighty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 19 22 31 32 37 38 44 62 74 76 88 121 124 148 152 176 209 242 248 296 304 341 352 407 418 484 496 589 592 608 682 703 814 836 968 992 1147 1178 1184 1364 1406 1628 1672 1936 2294 2299 2356 2728 2812 3256 3344 3751 3872 4477 4588 4598 4712 5456 5624 6479 6512 6688 7502 7733 8954 9176 9196 9424 10912 11248 12617 12958 13024 15004 15466 17908 18352 18392 18848 21793 22496 25234 25916 30008 30932 35816 36704 36784 43586 50468 51832 60016 61864 71269 71632 73568 85063 87172 100936 103664 120032 123728 138787 142538 143264 170126 174344 201872 207328 239723 247456 277574 285076 340252 348688 403744 479446 555148 570152 680504 697376 958892 1110296 1140304 1361008 1917784 2220592 2280608 2636953 2722016 3835568 4441184 5273906 7671136 10547812 21095624 42191248 84382496