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427161724 = 2211191015059
BaseRepresentation
bin11001011101011…
…111100001111100
31002202210001201121
4121131133201330
51333323133344
6110215320324
713404546313
oct3135374174
91082701647
10427161724
111aa137a20
12bb0800a4
136a661722
1440a3527a
152777b684
hex1975f87c

427161724 has 48 divisors (see below), whose sum is σ = 867081600. Its totient is φ = 182088000.

The previous prime is 427161697. The next prime is 427161751.

It is a happy number.

427161724 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (427161697) and next prime (427161751).

It is a self number, because there is not a number n which added to its sum of digits gives 427161724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81907 + ... + 86965.

It is an arithmetic number, because the mean of its divisors is an integer number (18064200).

Almost surely, 2427161724 is an apocalyptic number.

427161724 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

427161724 is an abundant number, since it is smaller than the sum of its proper divisors (439919876).

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

427161724 is a wasteful number, since it uses less digits than its factorization.

427161724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5194 (or 5192 counting only the distinct ones).

The product of its digits is 18816, while the sum is 34.

The square root of 427161724 is about 20667.8911357690. The cubic root of 427161724 is about 753.1198773066.

The spelling of 427161724 in words is "four hundred twenty-seven million, one hundred sixty-one thousand, seven hundred twenty-four".

Divisors: 1 2 4 11 19 22 38 44 76 101 202 209 404 418 836 1111 1919 2222 3838 4444 5059 7676 10118 20236 21109 42218 55649 84436 96121 111298 192242 222596 384484 510959 1021918 1057331 2043836 2114662 4229324 5620549 9708221 11241098 19416442 22482196 38832884 106790431 213580862 427161724