Search a number
-
+
4702742064 = 243510191187
BaseRepresentation
bin1000110000100111…
…00010011000110000
3110010202001001100000
410120103202120300
534112400221224
62054352030000
7224352435156
oct43023423060
913122031300
104702742064
111aa3636799
12ab2b32300
1359c3b0c17
143288033d6
151c7cda0c9
hex1184e2630

4702742064 has 120 divisors (see below), whose sum is σ = 13673499840. Its totient is φ = 1564723008.

The previous prime is 4702742063. The next prime is 4702742071. The reversal of 4702742064 is 4602472074.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4702742063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3961279 + ... + 3962465.

It is an arithmetic number, because the mean of its divisors is an integer number (113945832).

Almost surely, 24702742064 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 4702742064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6836749920).

4702742064 is an abundant number, since it is smaller than the sum of its proper divisors (8970757776).

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

4702742064 is a wasteful number, since it uses less digits than its factorization.

4702742064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2229 (or 2211 counting only the distinct ones).

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

The square root of 4702742064 is about 68576.5416450844. The cubic root of 4702742064 is about 1675.3943752748.

The spelling of 4702742064 in words is "four billion, seven hundred two million, seven hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1019 1187 1296 1944 2038 2374 3057 3561 3888 4076 4748 6114 7122 8152 9171 9496 10683 12228 14244 16304 18342 18992 21366 24456 27513 28488 32049 36684 42732 48912 55026 56976 64098 73368 82539 85464 96147 110052 128196 146736 165078 170928 192294 220104 247617 256392 288441 330156 384588 440208 495234 512784 576882 660312 769176 990468 1153764 1209553 1320624 1538352 1980936 2307528 2419106 3628659 3961872 4615056 4838212 7257318 9676424 10885977 14514636 19352848 21771954 29029272 32657931 43543908 58058544 65315862 87087816 97973793 130631724 174175632 195947586 261263448 293921379 391895172 522526896 587842758 783790344 1175685516 1567580688 2351371032 4702742064