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428349012 = 223713392261
BaseRepresentation
bin11001100010000…
…001011001010100
31002212000101101020
4121202001121110
51334124132022
6110301001140
713420622640
oct3142013124
91085011336
10428349012
111aa878a53
12bb5531b0
136a988c70
1440c63c20
152791335c
hex19881654

428349012 has 48 divisors (see below), whose sum is σ = 1230133632. Its totient is φ = 112970880.

The previous prime is 428349011. The next prime is 428349013. The reversal of 428349012 is 210943824.

It is an interprime number because it is at equal distance from previous prime (428349011) and next prime (428349013).

It is a super-2 number, since 2×4283490122 = 366965752162752288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428349011) 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 15 ways as a sum of consecutive naturals, for example, 195039 + ... + 197222.

It is an arithmetic number, because the mean of its divisors is an integer number (25627784).

Almost surely, 2428349012 is an apocalyptic number.

428349012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

428349012 is an abundant number, since it is smaller than the sum of its proper divisors (801784620).

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

428349012 is a wasteful number, since it uses less digits than its factorization.

428349012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392288 (or 392286 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 428349012 is about 20696.5942125752. The cubic root of 428349012 is about 753.8169926897.

The spelling of 428349012 in words is "four hundred twenty-eight million, three hundred forty-nine thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 392261 784522 1176783 1569044 2353566 2745827 4707132 5099393 5491654 8237481 10198786 10983308 15298179 16474962 20397572 30596358 32949924 35695751 61192716 71391502 107087253 142783004 214174506 428349012