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4872948100 = 2252371317013
BaseRepresentation
bin1001000100111001…
…10100100110000100
3110120121022102010021
410202130310212010
534434433314400
62123312104524
7231520242526
oct44234644604
913517272107
104872948100
11208071a039
12b3bb35144
135c8735c57
1434326ba16
151d7c0b71a
hex122734984

4872948100 has 36 divisors (see below), whose sum is σ = 10860097444. Its totient is φ = 1896497280.

The previous prime is 4872948089. The next prime is 4872948103. The reversal of 4872948100 is 18492784.

It can be written as a sum of positive squares in 6 ways, for example, as 39639616 + 4833308484 = 6296^2 + 69522^2 .

It is a super-2 number, since 2×48729481002 = 47491246370587220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4872948103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 654807 + ... + 662206.

Almost surely, 24872948100 is an apocalyptic number.

It is an amenable number.

4872948100 is an abundant number, since it is smaller than the sum of its proper divisors (5987149344).

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

4872948100 is a wasteful number, since it uses less digits than its factorization.

4872948100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317064 (or 1317057 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 4872948100 is about 69806.5047112373. The cubic root of 4872948100 is about 1695.3677931905.

The spelling of 4872948100 in words is "four billion, eight hundred seventy-two million, nine hundred forty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 1317013 2634026 5268052 6585065 13170130 26340260 32925325 48729481 65850650 97458962 131701300 194917924 243647405 487294810 974589620 1218237025 2436474050 4872948100