Search a number
-
+
424742208 = 26311832423
BaseRepresentation
bin11001010100010…
…000110101000000
31002121020010202220
4121110100311000
51332213222313
6110051411040
713345151322
oct3124206500
91077203686
10424742208
111a8835120
12ba2b3a80
1369cc5367
14405a5612
152744e823
hex19510d40

424742208 has 112 divisors (see below), whose sum is σ = 1241243136. Its totient is φ = 127106560.

The previous prime is 424742189. The next prime is 424742221. The reversal of 424742208 is 802247424.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174085 + ... + 176507.

It is an arithmetic number, because the mean of its divisors is an integer number (11082528).

Almost surely, 2424742208 is an apocalyptic number.

424742208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424742208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620621568).

424742208 is an abundant number, since it is smaller than the sum of its proper divisors (816500928).

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

424742208 is a wasteful number, since it uses less digits than its factorization.

424742208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2532 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 33.

The square root of 424742208 is about 20609.2748052909. The cubic root of 424742208 is about 751.6952514983.

The spelling of 424742208 in words is "four hundred twenty-four million, seven hundred forty-two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 83 88 96 132 166 176 192 249 264 332 352 498 528 664 704 913 996 1056 1328 1826 1992 2112 2423 2656 2739 3652 3984 4846 5312 5478 7269 7304 7968 9692 10956 14538 14608 15936 19384 21912 26653 29076 29216 38768 43824 53306 58152 58432 77536 79959 87648 106612 116304 155072 159918 175296 201109 213224 232608 319836 402218 426448 465216 603327 639672 804436 852896 1206654 1279344 1608872 1705792 2212199 2413308 2558688 3217744 4424398 4826616 5117376 6435488 6636597 8848796 9653232 12870976 13273194 17697592 19306464 26546388 35395184 38612928 53092776 70790368 106185552 141580736 212371104 424742208