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427739136 = 2113116329
BaseRepresentation
bin11001011111101…
…100100000000000
31002210212101210020
4121133230200000
51334000123021
6110235533440
713412502606
oct3137544000
91083771706
10427739136
111aa4a1820
12bb2ba280
136a8044a6
1440b45876
15278427c6
hex197ec800

427739136 has 96 divisors (see below), whose sum is σ = 1244224800. Its totient is φ = 129597440.

The previous prime is 427739099. The next prime is 427739149. The reversal of 427739136 is 631937724.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64420 + ... + 70748.

It is an arithmetic number, because the mean of its divisors is an integer number (12960675).

Almost surely, 2427739136 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 427739136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622112400).

427739136 is an abundant number, since it is smaller than the sum of its proper divisors (816485664).

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

427739136 is a wasteful number, since it uses less digits than its factorization.

427739136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6365 (or 6345 counting only the distinct ones).

The product of its digits is 190512, while the sum is 42.

The square root of 427739136 is about 20681.8552359308. The cubic root of 427739136 is about 753.4590655169.

The spelling of 427739136 in words is "four hundred twenty-seven million, seven hundred thirty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4224 5632 6144 6329 8448 11264 12658 16896 18987 22528 25316 33792 37974 50632 67584 69619 75948 101264 139238 151896 202528 208857 278476 303792 405056 417714 556952 607584 810112 835428 1113904 1215168 1620224 1670856 2227808 2430336 3240448 3341712 4455616 4860672 6480896 6683424 8911232 9721344 12961792 13366848 17822464 19442688 26733696 35644928 38885376 53467392 71289856 106934784 142579712 213869568 427739136