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427868688 = 243131394933
BaseRepresentation
bin11001100000001…
…100001000010000
31002211002222111110
4121200030020100
51334013244223
6110242413320
713413552402
oct3140141020
91084088443
10427868688
111aa580095
12bb361240
136a84b450
1440b7ab72
152786ad93
hex1980c210

427868688 has 80 divisors (see below), whose sum is σ = 1199159360. Its totient is φ = 130678272.

The previous prime is 427868687. The next prime is 427868689. The reversal of 427868688 is 886868724.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (427868687) and next prime (427868689).

It is a super-2 number, since 2×4278686882 = 366143228341682688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (427868687) 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, 84270 + ... + 89202.

It is an arithmetic number, because the mean of its divisors is an integer number (14989492).

Almost surely, 2427868688 is an apocalyptic number.

427868688 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 427868688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599579680).

427868688 is an abundant number, since it is smaller than the sum of its proper divisors (771290672).

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

427868688 is a wasteful number, since it uses less digits than its factorization.

427868688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5096 (or 5090 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 57.

The square root of 427868688 is about 20684.9870195753. The cubic root of 427868688 is about 753.5351261089.

The spelling of 427868688 in words is "four hundred twenty-seven million, eight hundred sixty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 139 156 208 278 312 417 556 624 834 1112 1668 1807 2224 3336 3614 4933 5421 6672 7228 9866 10842 14456 14799 19732 21684 28912 29598 39464 43368 59196 64129 78928 86736 118392 128258 192387 236784 256516 384774 513032 685687 769548 1026064 1371374 1539096 2057061 2742748 3078192 4114122 5485496 8228244 8913931 10970992 16456488 17827862 26741793 32912976 35655724 53483586 71311448 106967172 142622896 213934344 427868688