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1449013464 = 2332113241739
BaseRepresentation
bin101011001011110…
…0011000011011000
310201222120111210100
41112113203003120
510431421412324
6355441215400
750623261023
oct12627430330
93658514710
101449013464
11683a26298
12345331560
131a127cb22
14da6301ba
15873274c9
hex565e30d8

1449013464 has 96 divisors (see below), whose sum is σ = 3980948400. Its totient is φ = 476098560.

The previous prime is 1449013463. The next prime is 1449013471. The reversal of 1449013464 is 4643109441.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1449013463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1960407 + ... + 1961145.

Almost surely, 21449013464 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 1449013464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1990474200).

1449013464 is an abundant number, since it is smaller than the sum of its proper divisors (2531934936).

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

1449013464 is a wasteful number, since it uses less digits than its factorization.

1449013464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1449013464 is about 38065.9094729129. The cubic root of 1449013464 is about 1131.5944453231.

The spelling of 1449013464 in words is "one billion, four hundred forty-nine million, thirteen thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 113 226 241 339 452 482 678 723 739 904 964 1017 1356 1446 1478 1928 2034 2169 2217 2712 2892 2956 4068 4338 4434 5784 5912 6651 8136 8676 8868 13302 17352 17736 26604 27233 53208 54466 81699 83507 108932 163398 167014 178099 217864 245097 250521 326796 334028 356198 490194 501042 534297 653592 668056 712396 751563 980388 1002084 1068594 1424792 1503126 1602891 1960776 2004168 2137188 3006252 3205782 4274376 6012504 6411564 12823128 20125187 40250374 60375561 80500748 120751122 161001496 181126683 241502244 362253366 483004488 724506732 1449013464