Search a number
-
+
2371872048 = 243721377573
BaseRepresentation
bin1000110101011111…
…1110010100110000
320010022002120202220
42031113332110300
514324144401143
61031205241040
7112530402600
oct21527762460
96108076686
102371872048
111007950637
12562403180
132ba51aab0
1418701ac00
15dd36bd83
hex8d5fe530

2371872048 has 120 divisors (see below), whose sum is σ = 7676102448. Its totient is φ = 625540608.

The previous prime is 2371872047. The next prime is 2371872067. The reversal of 2371872048 is 8402781732.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2371872047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8211 + ... + 69362.

Almost surely, 22371872048 is an apocalyptic number.

2371872048 is a gapful number since it is divisible by the number (28) 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 2371872048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3838051224).

2371872048 is an abundant number, since it is smaller than the sum of its proper divisors (5304230400).

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

2371872048 is a wasteful number, since it uses less digits than its factorization.

2371872048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77611 (or 77598 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 2371872048 is about 48701.8690401097. The cubic root of 2371872048 is about 1333.6148384509.

The spelling of 2371872048 in words is "two billion, three hundred seventy-one million, eight hundred seventy-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 15288 30576 77573 155146 232719 310292 465438 543011 620584 930876 1008449 1086022 1241168 1629033 1861752 2016898 2172044 3025347 3258066 3723504 3801077 4033796 4344088 6050694 6516132 7059143 7602154 8067592 8688176 11403231 12101388 13032264 14118286 15204308 16135184 21177429 22806462 24202776 26064528 28236572 30408616 42354858 45612924 48405552 49414001 56473144 60817232 84709716 91225848 98828002 112946288 148242003 169419432 182451696 197656004 296484006 338838864 395312008 592968012 790624016 1185936024 2371872048