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2048944896 = 283610979
BaseRepresentation
bin111101000100000…
…0110101100000000
312021210110012000000
41322020012230000
513144012214041
6535152000000
7101526513165
oct17210065400
95253405000
102048944896
11961637699
12492230000
1326865343b
1415619a06c
15bed2ebb6
hex7a206b00

2048944896 has 126 divisors (see below), whose sum is σ = 6132582540. Its totient is φ = 682919424.

The previous prime is 2048944879. The next prime is 2048944897. The reversal of 2048944896 is 6984498402.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2048944897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 181135 + ... + 192113.

It is an arithmetic number, because the mean of its divisors is an integer number (48671290).

Almost surely, 22048944896 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 2048944896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3066291270).

2048944896 is an abundant number, since it is smaller than the sum of its proper divisors (4083637644).

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

2048944896 is an frugal number, since it uses more digits than its factorization.

2048944896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11013 (or 10984 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 2048944896 is about 45265.2725165772. The cubic root of 2048944896 is about 1270.1161147890.

The spelling of 2048944896 in words is "two billion, forty-eight million, nine hundred forty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 729 768 864 972 1152 1296 1458 1728 1944 2304 2592 2916 3456 3888 5184 5832 6912 7776 10368 10979 11664 15552 20736 21958 23328 31104 32937 43916 46656 62208 65874 87832 93312 98811 131748 175664 186624 197622 263496 296433 351328 395244 526992 592866 702656 790488 889299 1053984 1185732 1405312 1580976 1778598 2107968 2371464 2667897 2810624 3161952 3557196 4215936 4742928 5335794 6323904 7114392 8003691 8431872 9485856 10671588 12647808 14228784 16007382 18971712 21343176 25295616 28457568 32014764 37943424 42686352 56915136 64029528 75886848 85372704 113830272 128059056 170745408 227660544 256118112 341490816 512236224 682981632 1024472448 2048944896