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4677533952 = 2837131731127
BaseRepresentation
bin1000101101100110…
…11000000100000000
3110001222121100022020
410112303120010000
534034422041302
62052051441440
7223625245140
oct42663300400
913058540266
104677533952
111a90389543
12aa65b6280
135970c6090
14325320920
151c59aaebc
hex116cd8100

4677533952 has 576 divisors, whose sum is σ = 16878403584. Its totient is φ = 1114767360.

The previous prime is 4677533947. The next prime is 4677533963. The reversal of 4677533952 is 2593357764.

It is a super-2 number, since 2×46775339522 = 43758647744225476608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (4762800) is a multiple of the sum of its prime divisors (200).

It is a junction number, because it is equal to n+sod(n) for n = 4677533895 and 4677533904.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 36830913 + ... + 36831039.

It is an arithmetic number, because the mean of its divisors is an integer number (29302784).

Almost surely, 24677533952 is an apocalyptic number.

4677533952 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4677533952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8439201792).

4677533952 is an abundant number, since it is smaller than the sum of its proper divisors (12200869632).

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

4677533952 is a wasteful number, since it uses less digits than its factorization.

4677533952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 200 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 51.

The square root of 4677533952 is about 68392.4992378550. The cubic root of 4677533952 is about 1672.3954712680.

The spelling of 4677533952 in words is "four billion, six hundred seventy-seven million, five hundred thirty-three thousand, nine hundred fifty-two".