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428937216 = 212367521
BaseRepresentation
bin11001100100010…
…001000000000000
31002220010021020120
4121210101000000
51334301442331
6110321340240
713425622551
oct3144210000
91086107216
10428937216
1120013a974
12bb797680
136ab33906
1440d78328
15279cc796
hex19911000

428937216 has 104 divisors (see below), whose sum is σ = 1162990944. Its totient is φ = 140574720.

The previous prime is 428937211. The next prime is 428937221. The reversal of 428937216 is 612739824.

It is an interprime number because it is at equal distance from previous prime (428937211) and next prime (428937221).

It is not an unprimeable number, because it can be changed into a prime (428937211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 823036 + ... + 823556.

Almost surely, 2428937216 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 428937216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581495472).

428937216 is an abundant number, since it is smaller than the sum of its proper divisors (734053728).

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

428937216 is an equidigital number, since it uses as much as digits as its factorization.

428937216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 593 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 428937216 is about 20710.7995017092. The cubic root of 428937216 is about 754.1618791851.

The spelling of 428937216 in words is "four hundred twenty-eight million, nine hundred thirty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 512 521 536 768 804 1024 1042 1072 1536 1563 1608 2048 2084 2144 3072 3126 3216 4096 4168 4288 6144 6252 6432 8336 8576 12288 12504 12864 16672 17152 25008 25728 33344 34304 34907 50016 51456 66688 68608 69814 100032 102912 104721 133376 137216 139628 200064 205824 209442 266752 274432 279256 400128 411648 418884 533504 558512 800256 823296 837768 1067008 1117024 1600512 1675536 2134016 2234048 3201024 3351072 4468096 6402048 6702144 8936192 13404288 17872384 26808576 35744768 53617152 71489536 107234304 142979072 214468608 428937216