Search a number
-
+
4742143704 = 23348278849
BaseRepresentation
bin1000110101010011…
…10101111011011000
3110020111011212020000
410122221311323120
534202442044304
62102320333000
7225341361564
oct43251657330
913214155200
104742143704
1120138a8831
12b04174160
135a75c82bc
1432db3c6a4
151cb4be939
hex11aa75ed8

4742143704 has 80 divisors (see below), whose sum is σ = 13299957000. Its totient is φ = 1578624768.

The previous prime is 4742143667. The next prime is 4742143733. The reversal of 4742143704 is 4073412474.

It is a happy number.

4742143704 is a `hidden beast` number, since 4 + 74 + 214 + 370 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 531472 + ... + 540320.

Almost surely, 24742143704 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 4742143704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649978500).

4742143704 is an abundant number, since it is smaller than the sum of its proper divisors (8557813296).

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

4742143704 is a wasteful number, since it uses less digits than its factorization.

4742143704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9694 (or 9681 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 4742143704 is about 68863.2246122704. The cubic root of 4742143704 is about 1680.0604314997.

It can be divided in two parts, 47421 and 43704, that added together give a cube (91125 = 453).

The spelling of 4742143704 in words is "four billion, seven hundred forty-two million, one hundred forty-three thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 827 1654 2481 3308 4962 6616 7443 8849 9924 14886 17698 19848 22329 26547 29772 35396 44658 53094 59544 66987 70792 79641 89316 106188 133974 159282 178632 212376 238923 267948 318564 477846 535896 637128 716769 955692 1433538 1911384 2867076 5734152 7318123 14636246 21954369 29272492 43908738 58544984 65863107 87817476 131726214 175634952 197589321 263452428 395178642 526904856 592767963 790357284 1185535926 1580714568 2371071852 4742143704