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488252052 = 223261222337
BaseRepresentation
bin11101000110100…
…010001010010100
31021000201202220100
4131012202022110
51444443031202
6120240534100
715046034241
oct3506421224
91230652810
10488252052
11230672aa2
12117621330
137a200a52
1448bb85c8
152cce741c
hex1d1a2294

488252052 has 36 divisors (see below), whose sum is σ = 1254430996. Its totient is φ = 160081920.

The previous prime is 488251999. The next prime is 488252123. The reversal of 488252052 is 250252884.

488252052 is a `hidden beast` number, since 4 + 8 + 82 + 520 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 140280336 + 347971716 = 11844^2 + 18654^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 488251998 and 488252016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108973 + ... + 113364.

Almost surely, 2488252052 is an apocalyptic number.

It is an amenable number.

488252052 is an abundant number, since it is smaller than the sum of its proper divisors (766178944).

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

488252052 is a wasteful number, since it uses less digits than its factorization.

488252052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222408 (or 222403 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 488252052 is about 22096.4262268811. The cubic root of 488252052 is about 787.4349600102.

The spelling of 488252052 in words is "four hundred eighty-eight million, two hundred fifty-two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 222337 444674 667011 889348 1334022 2001033 2668044 4002066 8004132 13562557 27125114 40687671 54250228 81375342 122063013 162750684 244126026 488252052