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483918144 = 263191091217
BaseRepresentation
bin11100110110000…
…000000101000000
31020201120120220020
4130312000011000
51442340340034
6120004013440
714664144033
oct3466000500
91221516806
10483918144
11229182956
12116091280
13793441c8
14483ab01a
152c73d249
hex1cd80140

483918144 has 112 divisors (see below), whose sum is σ = 1361236800. Its totient is φ = 151289856.

The previous prime is 483918139. The next prime is 483918151. The reversal of 483918144 is 441819384.

It is a junction number, because it is equal to n+sod(n) for n = 483918096 and 483918105.

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, 397024 + ... + 398240.

It is an arithmetic number, because the mean of its divisors is an integer number (12153900).

Almost surely, 2483918144 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 483918144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680618400).

483918144 is an abundant number, since it is smaller than the sum of its proper divisors (877318656).

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

483918144 is a wasteful number, since it uses less digits than its factorization.

483918144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1360 (or 1350 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 483918144 is about 21998.1395576990. The cubic root of 483918144 is about 785.0981764237.

The spelling of 483918144 in words is "four hundred eighty-three million, nine hundred eighteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 109 114 152 192 218 228 304 327 436 456 608 654 872 912 1216 1217 1308 1744 1824 2071 2434 2616 3488 3648 3651 4142 4868 5232 6213 6976 7302 8284 9736 10464 12426 14604 16568 19472 20928 23123 24852 29208 33136 38944 46246 49704 58416 66272 69369 77888 92492 99408 116832 132544 132653 138738 184984 198816 233664 265306 277476 369968 397632 397959 530612 554952 739936 795918 1061224 1109904 1479872 1591836 2122448 2219808 2520407 3183672 4244896 4439616 5040814 6367344 7561221 8489792 10081628 12734688 15122442 20163256 25469376 30244884 40326512 60489768 80653024 120979536 161306048 241959072 483918144