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487141144 = 23728913963
BaseRepresentation
bin11101000010010…
…010111100011000
31020221122100000121
4131002102330120
51444202004034
6120201043024
715033426400
oct3502227430
91227570017
10487141144
1122aa84396
12117186474
1379c021c9
14489a9800
152cb781b4
hex1d092f18

487141144 has 48 divisors (see below), whose sum is σ = 1074529800. Its totient is φ = 206414208.

The previous prime is 487141141. The next prime is 487141157. The reversal of 487141144 is 441141784.

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 (487141141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27907 + ... + 41869.

Almost surely, 2487141144 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 487141144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537264900).

487141144 is an abundant number, since it is smaller than the sum of its proper divisors (587388656).

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

487141144 is a wasteful number, since it uses less digits than its factorization.

487141144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14072 (or 14061 counting only the distinct ones).

The product of its digits is 14336, while the sum is 34.

The square root of 487141144 is about 22071.2741816144. The cubic root of 487141144 is about 786.8372959698.

The spelling of 487141144 in words is "four hundred eighty-seven million, one hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 89 98 178 196 356 392 623 712 1246 2492 4361 4984 8722 13963 17444 27926 34888 55852 97741 111704 195482 390964 684187 781928 1242707 1368374 2485414 2736748 4970828 5473496 8698949 9941656 17397898 34795796 60892643 69591592 121785286 243570572 487141144