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428924352 = 2636733343
BaseRepresentation
bin11001100100001…
…101110111000000
31002220002121121010
4121210031313000
51334301034402
6110321200520
713425540213
oct3144156700
91086077533
10428924352
1120013123a
12bb790140
136ab2aabc
1440d7377a
15279c8a6c
hex1990ddc0

428924352 has 56 divisors (see below), whose sum is σ = 1151835136. Its totient is φ = 140836608.

The previous prime is 428924323. The next prime is 428924369. The reversal of 428924352 is 253429824.

It is a self number, because there is not a number n which added to its sum of digits gives 428924352.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3808 + ... + 29535.

Almost surely, 2428924352 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 428924352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575917568).

428924352 is an abundant number, since it is smaller than the sum of its proper divisors (722910784).

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

428924352 is a wasteful number, since it uses less digits than its factorization.

428924352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33425 (or 33415 counting only the distinct ones).

The product of its digits is 138240, while the sum is 39.

The square root of 428924352 is about 20710.4889367682. The cubic root of 428924352 is about 754.1543399035.

The spelling of 428924352 in words is "four hundred twenty-eight million, nine hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 402 536 804 1072 1608 2144 3216 4288 6432 12864 33343 66686 100029 133372 200058 266744 400116 533488 800232 1066976 1600464 2133952 2233981 3200928 4467962 6401856 6701943 8935924 13403886 17871848 26807772 35743696 53615544 71487392 107231088 142974784 214462176 428924352