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427229088 = 253111331121
BaseRepresentation
bin11001011101101…
…111111110100000
31002202220111010120
4121131233332200
51333332312323
6110221000240
713405246566
oct3135577640
91082814116
10427229088
111aa1835a0
12bb0b3080
136a6862a0
1440a51a36
15277915e3
hex1976ffa0

427229088 has 96 divisors (see below), whose sum is σ = 1317580992. Its totient is φ = 119500800.

The previous prime is 427229087. The next prime is 427229113. The reversal of 427229088 is 880922724.

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

It is not an unprimeable number, because it can be changed into a prime (427229087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1833 + ... + 29288.

It is an arithmetic number, because the mean of its divisors is an integer number (13724802).

Almost surely, 2427229088 is an apocalyptic number.

427229088 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 427229088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658790496).

427229088 is an abundant number, since it is smaller than the sum of its proper divisors (890351904).

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

427229088 is a wasteful number, since it uses less digits than its factorization.

427229088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31158 (or 31150 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 427229088 is about 20669.5207491611. The cubic root of 427229088 is about 753.1594645775.

The spelling of 427229088 in words is "four hundred twenty-seven million, two hundred twenty-nine thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 31121 62242 93363 124484 186726 248968 342331 373452 404573 497936 684662 746904 809146 995872 1026993 1213719 1369324 1493808 1618292 2053986 2427438 2738648 2987616 3236584 4107972 4450303 4854876 5477296 6473168 8215944 8900606 9709752 10954592 12946336 13350909 16431888 17801212 19419504 26701818 32863776 35602424 38839008 53403636 71204848 106807272 142409696 213614544 427229088