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84752430 = 23571912113
BaseRepresentation
bin1010000110100…
…11100000101110
312220110212110220
411003103200232
5133144034210
612224312210
72046245430
oct503234056
9186425426
1084752430
1143927834
1224472666
1314735589
14b382650
157691c70
hex50d382e

84752430 has 64 divisors (see below), whose sum is σ = 233791488. Its totient is φ = 19261440.

The previous prime is 84752399. The next prime is 84752431. The reversal of 84752430 is 3425748.

It is a junction number, because it is equal to n+sod(n) for n = 84752391 and 84752400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84752431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39054 + ... + 41166.

It is an arithmetic number, because the mean of its divisors is an integer number (3652992).

Almost surely, 284752430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84752430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116895744).

84752430 is an abundant number, since it is smaller than the sum of its proper divisors (149039058).

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

84752430 is a wasteful number, since it uses less digits than its factorization.

84752430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2321.

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 84752430 is about 9206.1082982985. The cubic root of 84752430 is about 439.2556802975.

The spelling of 84752430 in words is "eighty-four million, seven hundred fifty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 191 210 382 573 955 1146 1337 1910 2113 2674 2865 4011 4226 5730 6339 6685 8022 10565 12678 13370 14791 20055 21130 29582 31695 40110 44373 63390 73955 88746 147910 221865 403583 443730 807166 1210749 2017915 2421498 2825081 4035830 5650162 6053745 8475243 12107490 14125405 16950486 28250810 42376215 84752430