Search a number
-
+
4624641084 = 22374110313037
BaseRepresentation
bin1000100111010011…
…00110110000111100
3102221022002002221010
410103221212300330
533432402003314
62042522035220
7222413541420
oct42351466074
912838062833
104624641084
111a63542328
12a90948b10
1358916701b
1431c2b2b80
151c100e059
hex113a66c3c

4624641084 has 96 divisors (see below), whose sum is σ = 12756796416. Its totient is φ = 1276485120.

The previous prime is 4624641079. The next prime is 4624641089. The reversal of 4624641084 is 4801464264.

It is an interprime number because it is at equal distance from previous prime (4624641079) and next prime (4624641089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4624641089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348214 + ... + 361250.

It is an arithmetic number, because the mean of its divisors is an integer number (132883296).

Almost surely, 24624641084 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 4624641084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6378398208).

4624641084 is an abundant number, since it is smaller than the sum of its proper divisors (8132155332).

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

4624641084 is a wasteful number, since it uses less digits than its factorization.

4624641084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13195 (or 13193 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 4624641084 is about 68004.7136895671. The cubic root of 4624641084 is about 1666.0678260508.

The spelling of 4624641084 in words is "four billion, six hundred twenty-four million, six hundred forty-one thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 103 123 164 206 246 287 309 412 492 574 618 721 861 1148 1236 1442 1722 2163 2884 3444 4223 4326 8446 8652 12669 13037 16892 25338 26074 29561 39111 50676 52148 59122 78222 88683 91259 118244 156444 177366 182518 273777 354732 365036 534517 547554 1069034 1095108 1342811 1603551 2138068 2685622 3207102 3741619 4028433 5371244 6414204 7483238 8056866 9399677 11224857 14966476 16113732 18799354 22449714 28199031 37598708 44899428 55055251 56398062 110110502 112796124 165165753 220221004 330331506 385386757 660663012 770773514 1156160271 1541547028 2312320542 4624641084