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427755168 = 2534227727
BaseRepresentation
bin11001011111110…
…000011010100000
31002210220012210000
4121133300122200
51334001131133
6110240140000
713412600421
oct3137603240
91083805700
10427755168
111aa502875
12bb307600
136a80b889
1440b4b648
1527847413
hex197f06a0

427755168 has 120 divisors (see below), whose sum is σ = 1265296032. Its totient is φ = 141761664.

The previous prime is 427755157. The next prime is 427755179. The reversal of 427755168 is 861557724.

It is an interprime number because it is at equal distance from previous prime (427755157) and next prime (427755179).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 588021 + ... + 588747.

Almost surely, 2427755168 is an apocalyptic number.

427755168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427755168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632648016).

427755168 is an abundant number, since it is smaller than the sum of its proper divisors (837540864).

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

427755168 is a wasteful number, since it uses less digits than its factorization.

427755168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 959 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 427755168 is about 20682.2428184179. The cubic root of 427755168 is about 753.4684788125.

The spelling of 427755168 in words is "four hundred twenty-seven million, seven hundred fifty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 227 288 324 432 454 648 681 727 864 908 1296 1362 1454 1816 2043 2181 2592 2724 2908 3632 4086 4362 5448 5816 6129 6543 7264 8172 8724 10896 11632 12258 13086 16344 17448 18387 19629 21792 23264 24516 26172 32688 34896 36774 39258 49032 52344 58887 65376 69792 73548 78516 98064 104688 117774 147096 157032 165029 196128 209376 235548 294192 314064 330058 471096 495087 588384 628128 660116 942192 990174 1320232 1485261 1884384 1980348 2640464 2970522 3960696 4455783 5280928 5941044 7921392 8911566 11882088 13367349 15842784 17823132 23764176 26734698 35646264 47528352 53469396 71292528 106938792 142585056 213877584 427755168