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84948512 = 2511373647
BaseRepresentation
bin1010001000000…
…11011000100000
312220211211110012
411010003120200
5133221323022
612232424052
72051023205
oct504033040
9186754405
1084948512
1143a51090
1224548028
13147a38bc
14b3d3cac
1576cede2
hex5103620

84948512 has 48 divisors (see below), whose sum is σ = 183218112. Its totient is φ = 38449920.

The previous prime is 84948509. The next prime is 84948517. The reversal of 84948512 is 21584948.

It is a super-3 number, since 3×849485123 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84948512.

It is not an unprimeable number, because it can be changed into a prime (84948517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130973 + ... + 131619.

It is an arithmetic number, because the mean of its divisors is an integer number (3817044).

Almost surely, 284948512 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 84948512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91609056).

84948512 is an abundant number, since it is smaller than the sum of its proper divisors (98269600).

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

84948512 is a wasteful number, since it uses less digits than its factorization.

84948512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1033 counting only the distinct ones).

The product of its digits is 92160, while the sum is 41.

The square root of 84948512 is about 9216.7517054546. The cubic root of 84948512 is about 439.5941712583.

The spelling of 84948512 in words is "eighty-four million, nine hundred forty-eight thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 373 647 746 1294 1492 2588 2984 4103 5176 5968 7117 8206 10352 11936 14234 16412 20704 28468 32824 56936 65648 113872 131296 227744 241331 482662 965324 1930648 2654641 3861296 5309282 7722592 10618564 21237128 42474256 84948512