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2975484304 = 2413210492
BaseRepresentation
bin1011000101011010…
…0100100110010000
321200100220021010101
42301112210212100
522043210444204
61211130542144
7133510125232
oct26126444620
97610807111
102975484304
111297646441
126b0597954
133855ac900
14203264252
1512634eea4
hexb15a4990

2975484304 has 45 divisors (see below), whose sum is σ = 6248531523. Its totient is φ = 1371991296.

The previous prime is 2975484277. The next prime is 2975484353. The reversal of 2975484304 is 4034845792.

It is a happy number.

The square root of 2975484304 is 54548.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 21344400 + 2954139904 = 4620^2 + 54352^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2835972 + ... + 2837020.

Almost surely, 22975484304 is an apocalyptic number.

2975484304 is the 54548-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2975484304

2975484304 is an abundant number, since it is smaller than the sum of its proper divisors (3273047219).

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

2975484304 is an equidigital number, since it uses as much as digits as its factorization.

2975484304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 46.

The cubic root of 2975484304 is about 1438.3101808632.

The spelling of 2975484304 in words is "two billion, nine hundred seventy-five million, four hundred eighty-four thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1049 1352 2098 2704 4196 8392 13637 16784 27274 54548 109096 177281 218192 354562 709124 1100401 1418248 2200802 2836496 4401604 8803208 14305213 17606416 28610426 57220852 114441704 185967769 228883408 371935538 743871076 1487742152 2975484304