Search a number
-
+
4754134368 = 253219518461
BaseRepresentation
bin1000110110101111…
…00101010101100000
3110021022202001022200
410123113211111200
534214024244433
62103425333200
7225545322024
oct43327452540
913238661280
104754134368
11201a648575
12b08197200
135a9c35c79
14331580384
151cc58c613
hex11b5e5560

4754134368 has 72 divisors (see below), whose sum is σ = 13528097856. Its totient is φ = 1583712000.

The previous prime is 4754134367. The next prime is 4754134379. The reversal of 4754134368 is 8634314574.

4754134368 is a `hidden beast` number, since 4 + 7 + 541 + 3 + 43 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4754134367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 557658 + ... + 566118.

It is an arithmetic number, because the mean of its divisors is an integer number (187890248).

Almost surely, 24754134368 is an apocalyptic number.

4754134368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4754134368 is an abundant number, since it is smaller than the sum of its proper divisors (8773963488).

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

4754134368 is a wasteful number, since it uses less digits than its factorization.

4754134368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10428 (or 10417 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 4754134368 is about 68950.2310946091. The cubic root of 4754134368 is about 1681.4752687598.

The spelling of 4754134368 in words is "four billion, seven hundred fifty-four million, one hundred thirty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1951 3902 5853 7804 8461 11706 15608 16922 17559 23412 25383 31216 33844 35118 46824 50766 62432 67688 70236 76149 93648 101532 135376 140472 152298 187296 203064 270752 280944 304596 406128 561888 609192 812256 1218384 2436768 16507411 33014822 49522233 66029644 99044466 132059288 148566699 198088932 264118576 297133398 396177864 528237152 594266796 792355728 1188533592 1584711456 2377067184 4754134368