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428987136 = 283619157
BaseRepresentation
bin11001100100011…
…101001100000000
31002220012210201110
4121210131030000
51334310042021
6110322403320
713426221234
oct3144351400
91086183643
10428987136
11200174426
12bb800540
136ab50556
1440d8c5c4
15279dc476
hex1991d300

428987136 has 72 divisors (see below), whose sum is σ = 1160575024. Its totient is φ = 140636160.

The previous prime is 428987087. The next prime is 428987159. The reversal of 428987136 is 631789824.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 42270 + ... + 51426.

Almost surely, 2428987136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428987136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580287512).

428987136 is an abundant number, since it is smaller than the sum of its proper divisors (731587888).

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

428987136 is an equidigital number, since it uses as much as digits as its factorization.

428987136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9237 (or 9223 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 428987136 is about 20712.0046349937. The cubic root of 428987136 is about 754.1911346714.

The spelling of 428987136 in words is "four hundred twenty-eight million, nine hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 732 768 976 1464 1952 2928 3904 5856 7808 9157 11712 15616 18314 23424 27471 36628 46848 54942 73256 109884 146512 219768 293024 439536 558577 586048 879072 1117154 1172096 1675731 1758144 2234308 2344192 3351462 3516288 4468616 6702924 7032576 8937232 13405848 17874464 26811696 35748928 53623392 71497856 107246784 142995712 214493568 428987136