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423083472 = 24374773367
BaseRepresentation
bin11001001101111…
…011110111010000
31002111002212102020
4121031323313100
51331302132342
6105552051440
713325102340
oct3115736720
91074085366
10423083472
111a7901969
12b9833b80
1369864366
1440292d20
15272230ec
hex1937bdd0

423083472 has 160 divisors (see below), whose sum is σ = 1296678912. Its totient is φ = 116370432.

The previous prime is 423083447. The next prime is 423083477. The reversal of 423083472 is 274380324.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423083477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1152633 + ... + 1152999.

Almost surely, 2423083472 is an apocalyptic number.

423083472 is a gapful number since it is divisible by the number (42) 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 423083472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648339456).

423083472 is an abundant number, since it is smaller than the sum of its proper divisors (873595440).

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

423083472 is a wasteful number, since it uses less digits than its factorization.

423083472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 423083472 is about 20568.9929748639. The cubic root of 423083472 is about 750.7154488491.

The spelling of 423083472 in words is "four hundred twenty-three million, eighty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 73 84 94 112 141 146 168 188 219 282 292 329 336 367 376 438 511 564 584 658 734 752 876 987 1022 1101 1128 1168 1316 1468 1533 1752 1974 2044 2202 2256 2569 2632 2936 3066 3431 3504 3948 4088 4404 5138 5264 5872 6132 6862 7707 7896 8176 8808 10276 10293 12264 13724 15414 15792 17249 17616 20552 20586 24017 24528 26791 27448 30828 34498 41104 41172 48034 51747 53582 54896 61656 68996 72051 80373 82344 96068 103494 107164 120743 123312 137992 144102 160746 164688 187537 192136 206988 214328 241486 275984 288204 321492 362229 375074 384272 413976 428656 482972 562611 576408 642984 724458 750148 827952 965944 1125222 1152816 1259177 1285968 1448916 1500296 1931888 2250444 2518354 2897832 3000592 3777531 4500888 5036708 5795664 7555062 8814239 9001776 10073416 15110124 17628478 20146832 26442717 30220248 35256956 52885434 60440496 70513912 105770868 141027824 211541736 423083472