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427269888 = 2832533499
BaseRepresentation
bin11001011101111…
…001111100000000
31002202222120002200
4121131321330000
51333340114023
6110221513200
713405506543
oct3135717400
91082876080
10427269888
111aa201211
12bb112800
136a69ba26
1440a6285a
152779d743
hex19779f00

427269888 has 108 divisors (see below), whose sum is σ = 1255527000. Its totient is φ = 139696128.

The previous prime is 427269883. The next prime is 427269893. The reversal of 427269888 is 888962724.

It is an interprime number because it is at equal distance from previous prime (427269883) and next prime (427269893).

It is a super-4 number, since 4×4272698884 (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427269883) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120363 + ... + 123861.

It is an arithmetic number, because the mean of its divisors is an integer number (11625250).

Almost surely, 2427269888 is an apocalyptic number.

427269888 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 427269888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627763500).

427269888 is an abundant number, since it is smaller than the sum of its proper divisors (828257112).

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

427269888 is a wasteful number, since it uses less digits than its factorization.

427269888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3574 (or 3557 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 427269888 is about 20670.5076860729. The cubic root of 427269888 is about 753.1834391686.

The spelling of 427269888 in words is "four hundred twenty-seven million, two hundred sixty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 53 64 72 96 106 128 144 159 192 212 256 288 318 384 424 477 576 636 768 848 954 1152 1272 1696 1908 2304 2544 3392 3499 3816 5088 6784 6998 7632 10176 10497 13568 13996 15264 20352 20994 27992 30528 31491 40704 41988 55984 61056 62982 83976 111968 122112 125964 167952 185447 223936 251928 335904 370894 447872 503856 556341 671808 741788 895744 1007712 1112682 1343616 1483576 1669023 2015424 2225364 2687232 2967152 3338046 4030848 4450728 5934304 6676092 8061696 8901456 11868608 13352184 17802912 23737216 26704368 35605824 47474432 53408736 71211648 106817472 142423296 213634944 427269888