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428977248 = 2537638359
BaseRepresentation
bin11001100100011…
…010110001100000
31002220012022011020
4121210122301200
51334304232443
6110322245440
713426150350
oct3144326140
91086168136
10428977248
11200167a57
12bb7b6880
136ab48bbb
1440d88b60
15279d9583
hex1991ac60

428977248 has 48 divisors (see below), whose sum is σ = 1286933760. Its totient is φ = 122564736.

The previous prime is 428977247. The next prime is 428977261. The reversal of 428977248 is 842779824.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 428977248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428977247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 318508 + ... + 319851.

It is an arithmetic number, because the mean of its divisors is an integer number (26811120).

Almost surely, 2428977248 is an apocalyptic number.

428977248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

428977248 is an abundant number, since it is smaller than the sum of its proper divisors (857956512).

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

428977248 is a wasteful number, since it uses less digits than its factorization.

428977248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638379 (or 638371 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 51.

The square root of 428977248 is about 20711.7659314700. The cubic root of 428977248 is about 754.1853400150.

The spelling of 428977248 in words is "four hundred twenty-eight million, nine hundred seventy-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 638359 1276718 1915077 2553436 3830154 4468513 5106872 7660308 8937026 10213744 13405539 15320616 17874052 20427488 26811078 30641232 35748104 53622156 61282464 71496208 107244312 142992416 214488624 428977248