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427677272 = 2311231311613
BaseRepresentation
bin11001011111011…
…101011001011000
31002210202020220222
4121133131121120
51333441133042
6110234335212
713412124341
oct3137353130
91083666828
10427677272
111aa45a2a0
12bb28a508
136a7b2299
1440b2b0c8
152782e2d2
hex197dd658

427677272 has 64 divisors (see below), whose sum is σ = 920367360. Its totient is φ = 184412800.

The previous prime is 427677247. The next prime is 427677277. The reversal of 427677272 is 272776724.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427677277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 264338 + ... + 265950.

It is an arithmetic number, because the mean of its divisors is an integer number (14380740).

Almost surely, 2427677272 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 427677272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460183680).

427677272 is an abundant number, since it is smaller than the sum of its proper divisors (492690088).

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

427677272 is a wasteful number, since it uses less digits than its factorization.

427677272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1784 (or 1780 counting only the distinct ones).

The product of its digits is 460992, while the sum is 44.

The square root of 427677272 is about 20680.3595713421. The cubic root of 427677272 is about 753.4227394519.

The spelling of 427677272 in words is "four hundred twenty-seven million, six hundred seventy-seven thousand, two hundred seventy-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 131 184 253 262 506 524 1012 1048 1441 1613 2024 2882 3013 3226 5764 6026 6452 11528 12052 12904 17743 24104 33143 35486 37099 66286 70972 74198 132572 141944 148396 211303 265144 296792 408089 422606 816178 845212 1632356 1690424 2324333 3264712 4648666 4859969 9297332 9719938 18594664 19439876 38879752 53459659 106919318 213838636 427677272