Search a number
-
+
2405491872 = 253731115471
BaseRepresentation
bin1000111101100000…
…1110010010100000
320012122100122111120
42033120032102200
514411301214442
61034410012240
7113416225560
oct21730162240
96178318446
102405491872
111024923713
12571717080
132c448c594
1418b68cda0
15e12ad4ec
hex8f60e4a0

2405491872 has 96 divisors (see below), whose sum is σ = 7449329664. Its totient is φ = 665107200.

The previous prime is 2405491861. The next prime is 2405491877. The reversal of 2405491872 is 2781945042.

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

It is a super-2 number, since 2×24054918722 = 11572782292516128768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2405491877) 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 15 ways as a sum of consecutive naturals, for example, 36904 + ... + 78567.

It is an arithmetic number, because the mean of its divisors is an integer number (77597184).

Almost surely, 22405491872 is an apocalyptic number.

It is an amenable number.

2405491872 is an abundant number, since it is smaller than the sum of its proper divisors (5043837792).

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

2405491872 is a wasteful number, since it uses less digits than its factorization.

2405491872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115522 (or 115514 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2405491872 is about 49045.8140109836. The cubic root of 2405491872 is about 1339.8863555511.

The spelling of 2405491872 in words is "two billion, four hundred five million, four hundred ninety-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 115471 230942 346413 461884 692826 808297 923768 1385652 1616594 1847536 2424891 2771304 3233188 3579601 3695072 4849782 5542608 6466376 7159202 9699564 10738803 11085216 12932752 14318404 19399128 21477606 25057207 25865504 28636808 38798256 42955212 50114414 57273616 75171621 77596512 85910424 100228828 114547232 150343242 171820848 200457656 300686484 343641696 400915312 601372968 801830624 1202745936 2405491872