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84897504 = 2533971013
BaseRepresentation
bin1010000111101…
…10111011100000
312220202020111000
411003312323200
5133213210004
612231352000
72050421406
oct503667340
9186666430
1084897504
1143a1682a
1224522600
1314786613
14b3bd476
1576bec39
hex50f6ee0

84897504 has 96 divisors (see below), whose sum is σ = 250417440. Its totient is φ = 27979776.

The previous prime is 84897503. The next prime is 84897517. The reversal of 84897504 is 40579848.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 84897504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84897503) 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, 83302 + ... + 84314.

It is an arithmetic number, because the mean of its divisors is an integer number (2608515).

Almost surely, 284897504 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 84897504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125208720).

84897504 is an abundant number, since it is smaller than the sum of its proper divisors (165519936).

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

84897504 is a wasteful number, since it uses less digits than its factorization.

84897504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 84897504 is about 9213.9841545338. The cubic root of 84897504 is about 439.5061677197.

The spelling of 84897504 in words is "eighty-four million, eight hundred ninety-seven thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 97 108 144 194 216 288 291 388 432 582 776 864 873 1013 1164 1552 1746 2026 2328 2619 3039 3104 3492 4052 4656 5238 6078 6984 8104 9117 9312 10476 12156 13968 16208 18234 20952 24312 27351 27936 32416 36468 41904 48624 54702 72936 83808 97248 98261 109404 145872 196522 218808 291744 294783 393044 437616 589566 786088 875232 884349 1179132 1572176 1768698 2358264 2653047 3144352 3537396 4716528 5306094 7074792 9433056 10612188 14149584 21224376 28299168 42448752 84897504