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85001424 = 2434793697
BaseRepresentation
bin1010001000100…
…00010011010000
312220221112000220
411010100103100
5133230021144
612233513040
72051333364
oct504202320
9186845026
1085001424
1143a87912
1224572780
13147c1a01
14b4092a4
1576e0919
hex51104d0

85001424 has 40 divisors (see below), whose sum is σ = 220104960. Its totient is φ = 28267008.

The previous prime is 85001387. The next prime is 85001431. The reversal of 85001424 is 42410058.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 85001394 and 85001403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21144 + ... + 24840.

It is an arithmetic number, because the mean of its divisors is an integer number (5502624).

Almost surely, 285001424 is an apocalyptic number.

It is an amenable number.

85001424 is an abundant number, since it is smaller than the sum of its proper divisors (135103536).

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

85001424 is a wasteful number, since it uses less digits than its factorization.

85001424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4187 (or 4181 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 85001424 is about 9219.6216842124. The cubic root of 85001424 is about 439.6854225297.

The spelling of 85001424 in words is "eighty-five million, one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 479 958 1437 1916 2874 3697 3832 5748 7394 7664 11091 11496 14788 22182 22992 29576 44364 59152 88728 177456 1770863 3541726 5312589 7083452 10625178 14166904 21250356 28333808 42500712 85001424