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428893248 = 2637319117
BaseRepresentation
bin11001100100000…
…110010001000000
31002220001000221010
4121210012101000
51334244040443
6110320400520
713425350430
oct3144062100
91086030833
10428893248
1120010a933
12bb776140
136ab198b4
1440d662c0
15279be733
hex19906440

428893248 has 56 divisors (see below), whose sum is σ = 1296895552. Its totient is φ = 122540544.

The previous prime is 428893237. The next prime is 428893253. The reversal of 428893248 is 842398824.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is a junction number, because it is equal to n+sod(n) for n = 428893197 and 428893206.

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, 158215 + ... + 160902.

Almost surely, 2428893248 is an apocalyptic number.

428893248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

428893248 is an abundant number, since it is smaller than the sum of its proper divisors (868002304).

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

428893248 is a wasteful number, since it uses less digits than its factorization.

428893248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319139 (or 319129 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 428893248 is about 20709.7379993084. The cubic root of 428893248 is about 754.1361099728.

The spelling of 428893248 in words is "four hundred twenty-eight million, eight hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 319117 638234 957351 1276468 1914702 2233819 2552936 3829404 4467638 5105872 6701457 7658808 8935276 10211744 13402914 15317616 17870552 20423488 26805828 30635232 35741104 53611656 61270464 71482208 107223312 142964416 214446624 428893248