Search a number
-
+
1994418048 = 27374791549
BaseRepresentation
bin111011011100000…
…0110011110000000
312010222211221020010
41312320012132000
513041032334143
6525523144520
7100265162610
oct16670063600
95128757203
101994418048
11933884887
12477b15140
1325a27172c
1414cc44a40
15ba15da33
hex76e06780

1994418048 has 128 divisors (see below), whose sum is σ = 6071040000. Its totient is φ = 568276992.

The previous prime is 1994417983. The next prime is 1994418089. The reversal of 1994418048 is 8408144991.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1994417988 and 1994418006.

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, 1286778 + ... + 1288326.

It is an arithmetic number, because the mean of its divisors is an integer number (47430000).

Almost surely, 21994418048 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 1994418048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035520000).

1994418048 is an abundant number, since it is smaller than the sum of its proper divisors (4076621952).

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

1994418048 is a wasteful number, since it uses less digits than its factorization.

1994418048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2052 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 1994418048 is about 44658.9078236358. The cubic root of 1994418048 is about 1258.7478212619.

The spelling of 1994418048 in words is "one billion, nine hundred ninety-four million, four hundred eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 479 672 896 958 1344 1437 1549 1916 2688 2874 3098 3353 3832 4647 5748 6196 6706 7664 9294 10059 10843 11496 12392 13412 15328 18588 20118 21686 22992 24784 26824 30656 32529 37176 40236 43372 45984 49568 53648 61312 65058 74352 80472 86744 91968 99136 107296 130116 148704 160944 173488 183936 198272 214592 260232 297408 321888 346976 429184 520464 594816 643776 693952 741971 1040928 1287552 1387904 1483942 2081856 2225913 2967884 4163712 4451826 5193797 5935768 8903652 10387594 11871536 15581391 17807304 20775188 23743072 31162782 35614608 41550376 47486144 62325564 71229216 83100752 94972288 124651128 142458432 166201504 249302256 284916864 332403008 498604512 664806016 997209024 1994418048