Search a number
-
+
27402192 = 2433137463
BaseRepresentation
bin110100010000…
…1111111010000
31220120011202000
41220201333100
524003332232
62415154000
7451625526
oct150417720
956504660
1027402192
1114516744
129215900
1358a571c
1438d4316
15261427c
hex1a21fd0

27402192 has 80 divisors (see below), whose sum is σ = 79399680. Its totient is φ = 9047808.

The previous prime is 27402173. The next prime is 27402203. The reversal of 27402192 is 29120472.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 58953 + ... + 59415.

It is an arithmetic number, because the mean of its divisors is an integer number (992496).

Almost surely, 227402192 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 27402192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39699840).

27402192 is an abundant number, since it is smaller than the sum of its proper divisors (51997488).

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

27402192 is a wasteful number, since it uses less digits than its factorization.

27402192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 27402192 is about 5234.7103071708. The cubic root of 27402192 is about 301.4822642472.

The spelling of 27402192 in words is "twenty-seven million, four hundred two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 137 144 216 274 411 432 463 548 822 926 1096 1233 1389 1644 1852 2192 2466 2778 3288 3699 3704 4167 4932 5556 6576 7398 7408 8334 9864 11112 12501 14796 16668 19728 22224 25002 29592 33336 50004 59184 63431 66672 100008 126862 190293 200016 253724 380586 507448 570879 761172 1014896 1141758 1522344 1712637 2283516 3044688 3425274 4567032 6850548 9134064 13701096 27402192