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84030648 = 23313416569
BaseRepresentation
bin1010000001000…
…11010010111000
312212010012101020
411000203102320
5133002440043
612201022440
72040151212
oct500432270
9185105336
1084030648
1143484519
1224184a20
1314541ba0
14b2355b2
15759ce83
hex50234b8

84030648 has 64 divisors (see below), whose sum is σ = 231789600. Its totient is φ = 25221120.

The previous prime is 84030629. The next prime is 84030649. The reversal of 84030648 is 84603048.

It is a super-2 number, since 2×840306482 = 14122299606599808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84030649) 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, 9508 + ... + 16076.

Almost surely, 284030648 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 84030648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115894800).

84030648 is an abundant number, since it is smaller than the sum of its proper divisors (147758952).

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

84030648 is a wasteful number, since it uses less digits than its factorization.

84030648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6632 (or 6628 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 84030648 is about 9166.8232229055. The cubic root of 84030648 is about 438.0051708070.

The spelling of 84030648 in words is "eighty-four million, thirty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 984 1066 1599 2132 3198 4264 6396 6569 12792 13138 19707 26276 39414 52552 78828 85397 157656 170794 256191 269329 341588 512382 538658 683176 807987 1024764 1077316 1615974 2049528 2154632 3231948 3501277 6463896 7002554 10503831 14005108 21007662 28010216 42015324 84030648