Search a number
-
+
423883488 = 25372921751
BaseRepresentation
bin11001010000111…
…111001011100000
31002112121111211110
4121100333023200
51332003232423
6110021143320
713334643630
oct3120771340
91075544743
10423883488
111a82a8a36
12b9b5ab40
1369a84542
14404206c0
1527330193
hex1943f2e0

423883488 has 96 divisors (see below), whose sum is σ = 1315560960. Its totient is φ = 116928000.

The previous prime is 423883487. The next prime is 423883489. The reversal of 423883488 is 884388324.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (423883487) and next prime (423883489).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4238834882 = 359354422798092288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423883487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8613 + ... + 30363.

It is an arithmetic number, because the mean of its divisors is an integer number (13703760).

Almost surely, 2423883488 is an apocalyptic number.

423883488 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 423883488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657780480).

423883488 is an abundant number, since it is smaller than the sum of its proper divisors (891677472).

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

423883488 is a wasteful number, since it uses less digits than its factorization.

423883488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21800 (or 21792 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 48.

The square root of 423883488 is about 20588.4309261294. The cubic root of 423883488 is about 751.1883312751.

The spelling of 423883488 in words is "four hundred twenty-three million, eight hundred eighty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 6496 9744 19488 21751 43502 65253 87004 130506 152257 174008 261012 304514 348016 456771 522024 609028 630779 696032 913542 1044048 1218056 1261558 1827084 1892337 2088096 2436112 2523116 3654168 3784674 4415453 4872224 5046232 7308336 7569348 8830906 10092464 13246359 14616672 15138696 17661812 20184928 26492718 30277392 35323624 52985436 60554784 70647248 105970872 141294496 211941744 423883488