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427873728 = 2632228509
BaseRepresentation
bin11001100000001…
…101010111000000
31002211010020102010
4121200031113000
51334013424403
6110242452520
713413603162
oct3140152700
91084106363
10427873728
111aa583957
12bb364140
136a850829
1440b7c932
152786c603
hex1980d5c0

427873728 has 28 divisors (see below), whose sum is σ = 1132083080. Its totient is φ = 142624512.

The previous prime is 427873727. The next prime is 427873729. The reversal of 427873728 is 827378724.

It is an interprime number because it is at equal distance from previous prime (427873727) and next prime (427873729).

It is a super-2 number, since 2×4278737282 = 366151854225235968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427873727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1114063 + ... + 1114446.

Almost surely, 2427873728 is an apocalyptic number.

427873728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

427873728 is an abundant number, since it is smaller than the sum of its proper divisors (704209352).

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

427873728 is a wasteful number, since it uses less digits than its factorization.

427873728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2228524 (or 2228514 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 48.

The square root of 427873728 is about 20685.1088467042. The cubic root of 427873728 is about 753.5380848064.

The spelling of 427873728 in words is "four hundred twenty-seven million, eight hundred seventy-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2228509 4457018 6685527 8914036 13371054 17828072 26742108 35656144 53484216 71312288 106968432 142624576 213936864 427873728