Search a number
-
+
23923427584 = 287213812
BaseRepresentation
bin10110010001111100…
…101000100100000000
32021202021011001002111
4112101330220210000
5342443344140314
614553522025104
71504562531200
oct262174504400
967667131074
1023923427584
11a167173261
124777aa8194
132343499114
14122d3c6400
15950417ec4
hex591f28900

23923427584 has 81 divisors (see below), whose sum is σ = 55590131961. Its totient is φ = 10245473280.

The previous prime is 23923427581. The next prime is 23923427597. The reversal of 23923427584 is 48572432932.

The square root of 23923427584 is 154672.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10872649984 + 13050777600 = 104272^2 + 114240^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (23923427581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17322574 + ... + 17323954.

Almost surely, 223923427584 is an apocalyptic number.

23923427584 is the 154672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23923427584

23923427584 is an abundant number, since it is smaller than the sum of its proper divisors (31666704377).

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

23923427584 is an frugal number, since it uses more digits than its factorization.

23923427584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2792 (or 1390 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 49.

Multiplying 23923427584 by its sum of digits (49), we get a square (1172247951616 = 10827042).

23923427584 divided by its sum of digits (49) gives a square (488233216 = 220962).

The spelling of 23923427584 in words is "twenty-three billion, nine hundred twenty-three million, four hundred twenty-seven thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1381 1568 1792 2762 3136 5524 6272 9667 11048 12544 19334 22096 38668 44192 67669 77336 88384 135338 154672 176768 270676 309344 353536 541352 618688 1082704 1237376 1907161 2165408 2474752 3814322 4330816 7628644 8661632 13350127 15257288 17323264 26700254 30514576 53400508 61029152 93450889 106801016 122058304 186901778 213602032 244116608 373803556 427204064 488233216 747607112 854408128 1495214224 1708816256 2990428448 3417632512 5980856896 11961713792 23923427584