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423564024 = 23313329277
BaseRepresentation
bin11001001111110…
…001001011111000
31002112000021121110
4121033301023320
51331413022044
6110010240320
713332143352
oct3117611370
91075007543
10423564024
111a80aaa14
12b9a260a0
13699a2000
144037a0d2
15272ba6b9
hex193f12f8

423564024 has 128 divisors (see below), whose sum is σ = 1190952000. Its totient is φ = 125379072.

The previous prime is 423563999. The next prime is 423564077. The reversal of 423564024 is 420465324.

It is a junction number, because it is equal to n+sod(n) for n = 423563982 and 423564000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1528974 + ... + 1529250.

Almost surely, 2423564024 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 423564024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595476000).

423564024 is an abundant number, since it is smaller than the sum of its proper divisors (767387976).

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

423564024 is a wasteful number, since it uses less digits than its factorization.

423564024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 423564024 is about 20580.6711260833. The cubic root of 423564024 is about 750.9995703315. Note that the first 3 decimals are identical.

The spelling of 423564024 in words is "four hundred twenty-three million, five hundred sixty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 169 174 232 277 312 338 348 377 507 554 676 696 754 831 1014 1108 1131 1352 1508 1662 2028 2197 2216 2262 3016 3324 3601 4056 4394 4524 4901 6591 6648 7202 8033 8788 9048 9802 10803 13182 14404 14703 16066 17576 19604 21606 24099 26364 28808 29406 32132 39208 43212 46813 48198 52728 58812 63713 64264 86424 93626 96396 104429 117624 127426 140439 187252 191139 192792 208858 254852 280878 313287 374504 382278 417716 509704 561756 608569 626574 764556 835432 1123512 1217138 1253148 1357577 1529112 1825707 2434276 2506296 2715154 3651414 4072731 4868552 5430308 7302828 8145462 10860616 14605656 16290924 17648501 32581848 35297002 52945503 70594004 105891006 141188008 211782012 423564024