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424512828 = 223253271821
BaseRepresentation
bin11001010011011…
…000110100111100
31002120210111010100
4121103120310330
51332133402303
6110042441100
713343204505
oct3123306474
91076714110
10424512828
111a8698853
12ba203190
1369c44b2c
1440545bac
15274068a3
hex194d8d3c

424512828 has 72 divisors (see below), whose sum is σ = 1098691776. Its totient is φ = 138153600.

The previous prime is 424512787. The next prime is 424512841. The reversal of 424512828 is 828215424.

It is a super-2 number, since 2×4245128282 = 360422282273115168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 424512792 and 424512801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 516658 + ... + 517478.

It is an arithmetic number, because the mean of its divisors is an integer number (15259608).

Almost surely, 2424512828 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 424512828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549345888).

424512828 is an abundant number, since it is smaller than the sum of its proper divisors (674178948).

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

424512828 is a wasteful number, since it uses less digits than its factorization.

424512828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1150 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 424512828 is about 20603.7090835607. The cubic root of 424512828 is about 751.5599106557.

The spelling of 424512828 in words is "four hundred twenty-four million, five hundred twelve thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 271 318 477 542 636 813 821 954 1084 1626 1642 1908 2439 2463 3252 3284 4878 4926 7389 9756 9852 14363 14778 28726 29556 43089 43513 57452 86178 87026 129267 130539 172356 174052 222491 258534 261078 391617 444982 517068 522156 667473 783234 889964 1334946 1566468 2002419 2669892 4004838 8009676 11792023 23584046 35376069 47168092 70752138 106128207 141504276 212256414 424512828