Search a number
-
+
423247872 = 214379109
BaseRepresentation
bin11001001110100…
…100000000000000
31002111102012221010
4121032210000000
51331322412442
6105555400520
713326355545
oct3116440000
91074365833
10423247872
111a7a04433
12b98b3140
13698c1138
14402d6bcc
1527256b9c
hex193a4000

423247872 has 120 divisors (see below), whose sum is σ = 1153398400. Its totient is φ = 138018816.

The previous prime is 423247807. The next prime is 423247889. The reversal of 423247872 is 278742324.

It is a super-2 number, since 2×4232478722 = 358277522305056768, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 423247872.

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, 3882954 + ... + 3883062.

Almost surely, 2423247872 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 423247872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576699200).

423247872 is an abundant number, since it is smaller than the sum of its proper divisors (730150528).

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

423247872 is an equidigital number, since it uses as much as digits as its factorization.

423247872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 193 counting only the distinct ones).

The product of its digits is 150528, while the sum is 39.

The square root of 423247872 is about 20572.9888932065. The cubic root of 423247872 is about 750.8126728768.

The spelling of 423247872 in words is "four hundred twenty-three million, two hundred forty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 109 128 158 192 218 237 256 316 327 384 436 474 512 632 654 768 872 948 1024 1264 1308 1536 1744 1896 2048 2528 2616 3072 3488 3792 4096 5056 5232 6144 6976 7584 8192 8611 10112 10464 12288 13952 15168 16384 17222 20224 20928 24576 25833 27904 30336 34444 40448 41856 49152 51666 55808 60672 68888 80896 83712 103332 111616 121344 137776 161792 167424 206664 223232 242688 275552 323584 334848 413328 446464 485376 551104 647168 669696 826656 892928 970752 1102208 1294336 1339392 1653312 1785856 1941504 2204416 2678784 3306624 3883008 4408832 5357568 6613248 8817664 13226496 17635328 26452992 35270656 52905984 70541312 105811968 141082624 211623936 423247872