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27412992 = 2934661
BaseRepresentation
bin110100010010…
…0101000000000
31220120201120000
41220210220000
524004203432
62415320000
7452002155
oct150445000
956521500
1027412992
1114523872
129220000
1358aa609
1438d822c
15261757c
hex1a24a00

27412992 has 100 divisors (see below), whose sum is σ = 81944346. Its totient is φ = 9123840.

The previous prime is 27412981. The next prime is 27412999. The reversal of 27412992 is 29921472.

It can be written as a sum of positive squares in only one way, i.e., 19927296 + 7485696 = 4464^2 + 2736^2 .

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

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (27412999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 41142 + ... + 41802.

Almost surely, 227412992 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 27412992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40972173).

27412992 is an abundant number, since it is smaller than the sum of its proper divisors (54531354).

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

27412992 is an frugal number, since it uses more digits than its factorization.

27412992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 691 (or 666 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 27412992 is about 5235.7417812570. The cubic root of 27412992 is about 301.5218666846.

The spelling of 27412992 in words is "twenty-seven million, four hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 661 768 864 1152 1296 1322 1536 1728 1983 2304 2592 2644 3456 3966 4608 5184 5288 5949 6912 7932 10368 10576 11898 13824 15864 17847 20736 21152 23796 31728 35694 41472 42304 47592 53541 63456 71388 84608 95184 107082 126912 142776 169216 190368 214164 253824 285552 338432 380736 428328 507648 571104 761472 856656 1015296 1142208 1522944 1713312 2284416 3045888 3426624 4568832 6853248 9137664 13706496 27412992