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2148936048 = 24337710627
BaseRepresentation
bin1000000000010110…
…0010100101110000
312112202121021002000
42000011202211300
513400111423143
6553123054000
7104152440450
oct20005424560
95482537060
102148936048
11a03022506
124bb811300
13283292bbc
14165587d60
15c89d1bd3
hex80162970

2148936048 has 80 divisors (see below), whose sum is σ = 7049429760. Its totient is φ = 613980864.

The previous prime is 2148936007. The next prime is 2148936077. The reversal of 2148936048 is 8406398412.

It is a happy number.

It is a super-2 number, since 2×21489360482 = 9235852276787716608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2148935994 and 2148936012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 352290 + ... + 358337.

It is an arithmetic number, because the mean of its divisors is an integer number (88117872).

Almost surely, 22148936048 is an apocalyptic number.

2148936048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2148936048 is an abundant number, since it is smaller than the sum of its proper divisors (4900493712).

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

2148936048 is a wasteful number, since it uses less digits than its factorization.

2148936048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710651 (or 710639 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2148936048 is about 46356.6181682832. The cubic root of 2148936048 is about 1290.4499458011.

The spelling of 2148936048 in words is "two billion, one hundred forty-eight million, nine hundred thirty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 710627 1421254 2131881 2842508 4263762 4974389 5685016 6395643 8527524 9948778 11370032 12791286 14923167 17055048 19186929 19897556 25582572 29846334 34110096 38373858 39795112 44769501 51165144 59692668 76747716 79590224 89539002 102330288 119385336 134308503 153495432 179078004 238770672 268617006 306990864 358156008 537234012 716312016 1074468024 2148936048