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4752046080 = 21132551563
BaseRepresentation
bin1000110110011111…
…00111100000000000
3110021011210221201200
410123033213200000
534213010433310
62103312501200
7225521503515
oct43317474000
913234727650
104752046080
112019451611
12b0754a800
135a96845b2
1433119930c
151cc2c89c0
hex11b3e7800

4752046080 has 144 divisors (see below), whose sum is σ = 16470057240. Its totient is φ = 1267187712.

The previous prime is 4752046069. The next prime is 4752046081. The reversal of 4752046080 is 806402574.

4752046080 is a `hidden beast` number, since 47 + 5 + 2 + 0 + 4 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4752046081) 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, 66379 + ... + 117941.

Almost surely, 24752046080 is an apocalyptic number.

4752046080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4752046080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8235028620).

4752046080 is an abundant number, since it is smaller than the sum of its proper divisors (11718011160).

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

4752046080 is a wasteful number, since it uses less digits than its factorization.

4752046080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51596 (or 51573 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4752046080 is about 68935.0859867455. The cubic root of 4752046080 is about 1681.2290326338.

The spelling of 4752046080 in words is "four billion, seven hundred fifty-two million, forty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 23040 30720 46080 51563 92160 103126 154689 206252 257815 309378 412504 464067 515630 618756 773445 825008 928134 1031260 1237512 1546890 1650016 1856268 2062520 2320335 2475024 3093780 3300032 3712536 4125040 4640670 4950048 6187560 6600064 7425072 8250080 9281340 9900096 12375120 13200128 14850144 16500160 18562680 19800192 24750240 26400256 29700288 33000320 37125360 39600384 49500480 52800512 59400576 66000640 74250720 79200768 99000960 105601024 118801152 132001280 148501440 158401536 198001920 237602304 264002560 297002880 316803072 396003840 475204608 528005120 594005760 792007680 950409216 1188011520 1584015360 2376023040 4752046080