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84797152 = 25111931409
BaseRepresentation
bin1010000110111…
…10011011100000
312220120010211021
411003132123200
5133202002102
612225255224
72046523006
oct503363340
9186503737
1084797152
11439583a0
1224494514
131474ca3b
14b394a76
1576a0137
hex50de6e0

84797152 has 96 divisors (see below), whose sum is σ = 198374400. Its totient is φ = 35251200.

The previous prime is 84797149. The next prime is 84797201. The reversal of 84797152 is 25179748.

It is a super-2 number, since 2×847971522 = 14381113974622208, which contains 22 as substring.

Its product of digits (141120) is a multiple of the sum of its prime factors (480).

It is a junction number, because it is equal to n+sod(n) for n = 84797099 and 84797108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207124 + ... + 207532.

It is an arithmetic number, because the mean of its divisors is an integer number (2066400).

Almost surely, 284797152 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 84797152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99187200).

84797152 is an abundant number, since it is smaller than the sum of its proper divisors (113577248).

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

84797152 is a wasteful number, since it uses less digits than its factorization.

84797152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its digits is 141120, while the sum is 43.

The square root of 84797152 is about 9208.5369087603. The cubic root of 84797152 is about 439.3329285771.

The spelling of 84797152 in words is "eighty-four million, seven hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 19 22 31 32 38 44 62 76 88 124 152 176 209 248 304 341 352 409 418 496 589 608 682 818 836 992 1178 1364 1636 1672 2356 2728 3272 3344 4499 4712 5456 6479 6544 6688 7771 8998 9424 10912 12679 12958 13088 15542 17996 18848 25358 25916 31084 35992 50716 51832 62168 71984 85481 101432 103664 124336 139469 143968 170962 202864 207328 240901 248672 278938 341924 405728 481802 557876 683848 963604 1115752 1367696 1927208 2231504 2649911 2735392 3854416 4463008 5299822 7708832 10599644 21199288 42398576 84797152