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4830042384 = 2432178918749
BaseRepresentation
bin1000111111110010…
…01001100100010000
3110110121120120112200
410133321021210100
534342442324014
62115140323200
7230456453136
oct43771114420
913417516480
104830042384
112059484372
12b296a3500
135bc89295b
1433b69d756
151d4083a09
hex11fe49910

4830042384 has 60 divisors (see below), whose sum is σ = 13525687500. Its totient is φ = 1609028352.

The previous prime is 4830042367. The next prime is 4830042401. The reversal of 4830042384 is 4832400384.

It is an interprime number because it is at equal distance from previous prime (4830042367) and next prime (4830042401).

It can be written as a sum of positive squares in 2 ways, for example, as 3961443600 + 868598784 = 62940^2 + 29472^2 .

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

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, 248242 + ... + 266990.

It is an arithmetic number, because the mean of its divisors is an integer number (225428125).

Almost surely, 24830042384 is an apocalyptic number.

It is an amenable number.

4830042384 is an abundant number, since it is smaller than the sum of its proper divisors (8695645116).

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

4830042384 is a wasteful number, since it uses less digits than its factorization.

4830042384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20552 (or 20543 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 4830042384 is about 69498.5063436618. The cubic root of 4830042384 is about 1690.3772816399.

The spelling of 4830042384 in words is "four billion, eight hundred thirty million, forty-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1789 3578 5367 7156 10734 14312 16101 18749 21468 28624 32202 37498 42936 56247 64404 74996 85872 112494 128808 149992 168741 224988 257616 299984 337482 449976 674964 899952 1349928 2699856 33541961 67083922 100625883 134167844 201251766 268335688 301877649 402503532 536671376 603755298 805007064 1207510596 1610014128 2415021192 4830042384