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84393248 = 2529211431
BaseRepresentation
bin1010000011110…
…11110100100000
312212210121202212
411001323310200
5133101040443
612212501252
72043221312
oct501736440
9185717685
1084393248
1143701995
122431a828
131463ac44
14b2cb7b2
157620618
hex507bd20

84393248 has 48 divisors (see below), whose sum is σ = 173093760. Its totient is φ = 40454400.

The previous prime is 84393223. The next prime is 84393289. The reversal of 84393248 is 84239348.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 195593 + ... + 196023.

It is an arithmetic number, because the mean of its divisors is an integer number (3606120).

Almost surely, 284393248 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 84393248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86546880).

84393248 is an abundant number, since it is smaller than the sum of its proper divisors (88700512).

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

84393248 is a wasteful number, since it uses less digits than its factorization.

84393248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 673 counting only the distinct ones).

The product of its digits is 165888, while the sum is 41.

The square root of 84393248 is about 9186.5797770443. The cubic root of 84393248 is about 438.6342776976.

The spelling of 84393248 in words is "eighty-four million, three hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 58 116 211 232 422 431 464 844 862 928 1688 1724 3376 3448 6119 6752 6896 12238 12499 13792 24476 24998 48952 49996 90941 97904 99992 181882 195808 199984 363764 399968 727528 1455056 2637289 2910112 5274578 10549156 21098312 42196624 84393248