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2948213352 = 2337139191661
BaseRepresentation
bin1010111110111010…
…0010101001101000
321121110120202102010
42233232202221220
522014220311402
61204314235520
7133026254130
oct25756425150
97543522363
102948213352
11128320a367
126a3425ba0
1337ca51b56
141dd7a5ac0
15123c64a6c
hexafba2a68

2948213352 has 128 divisors (see below), whose sum is σ = 8541388800. Its totient is φ = 830649600.

The previous prime is 2948213339. The next prime is 2948213357. The reversal of 2948213352 is 2533128492.

It is a super-2 number, since 2×29482133522 = 17383923937822151808, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2948213352.

It is not an unprimeable number, because it can be changed into a prime (2948213357) 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 31 ways as a sum of consecutive naturals, for example, 4459902 + ... + 4460562.

It is an arithmetic number, because the mean of its divisors is an integer number (66729600).

Almost surely, 22948213352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2948213352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270694400).

2948213352 is an abundant number, since it is smaller than the sum of its proper divisors (5593175448).

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

2948213352 is a wasteful number, since it uses less digits than its factorization.

2948213352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007 (or 1003 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

The square root of 2948213352 is about 54297.4525369285. The cubic root of 2948213352 is about 1433.9025472153.

The spelling of 2948213352 in words is "two billion, nine hundred forty-eight million, two hundred thirteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 139 168 191 278 382 417 556 573 661 764 834 973 1112 1146 1322 1337 1528 1668 1946 1983 2292 2644 2674 2919 3336 3892 3966 4011 4584 4627 5288 5348 5838 7784 7932 8022 9254 10696 11676 13881 15864 16044 18508 23352 26549 27762 32088 37016 53098 55524 79647 91879 106196 111048 126251 159294 183758 185843 212392 252502 275637 318588 367516 371686 378753 505004 551274 557529 637176 643153 735032 743372 757506 883757 1010008 1102548 1115058 1286306 1486744 1515012 1767514 1929459 2205096 2230116 2572612 2651271 3030024 3535028 3858918 4460232 5145224 5302542 7070056 7717836 10605084 15435672 17548889 21210168 35097778 52646667 70195556 105293334 122842223 140391112 210586668 245684446 368526669 421173336 491368892 737053338 982737784 1474106676 2948213352