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428984448 = 2733136037
BaseRepresentation
bin11001100100011…
…100100010000000
31002220012200000220
4121210130202000
51334310000243
6110322343040
713426210344
oct3144344200
91086180026
10428984448
11200172402
12bb7baa80
136ab4c269
1440d8b624
15279db783
hex1991c880

428984448 has 64 divisors (see below), whose sum is σ = 1176280320. Its totient is φ = 138378240.

The previous prime is 428984411. The next prime is 428984459. The reversal of 428984448 is 844489824.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 428984448.

It is a congruent number.

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, 6115 + ... + 29922.

It is an arithmetic number, because the mean of its divisors is an integer number (18379380).

Almost surely, 2428984448 is an apocalyptic number.

428984448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

428984448 is an abundant number, since it is smaller than the sum of its proper divisors (747295872).

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

428984448 is a wasteful number, since it uses less digits than its factorization.

428984448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36085 (or 36073 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 51.

The square root of 428984448 is about 20711.9397449877. The cubic root of 428984448 is about 754.1895594338.

The spelling of 428984448 in words is "four hundred twenty-eight million, nine hundred eighty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 36037 72074 108111 144148 216222 288296 432444 576592 864888 1117147 1153184 1729776 2234294 2306368 3351441 3459552 4468588 4612736 6702882 6919104 8937176 13405764 13838208 17874352 26811528 35748704 53623056 71497408 107246112 142994816 214492224 428984448