Search a number
-
+
4504955004 = 22321129392281
BaseRepresentation
bin1000011001000010…
…00010100001111100
3102121221212102111100
410030201002201330
533211232030004
62023004453100
7216431325414
oct41441024174
912557772440
104504955004
111a01a25410
12a5884a190
1356a41cc64
1430a439644
151b576b739
hex10c84287c

4504955004 has 72 divisors (see below), whose sum is σ = 12851158320. Its totient is φ = 1318060800.

The previous prime is 4504954969. The next prime is 4504955009. The reversal of 4504955004 is 4005594054.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4504955004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4504955009) 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, 184657 + ... + 207624.

It is an arithmetic number, because the mean of its divisors is an integer number (178488310).

Almost surely, 24504955004 is an apocalyptic number.

4504955004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4504955004 is an abundant number, since it is smaller than the sum of its proper divisors (8346203316).

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

4504955004 is a wasteful number, since it uses less digits than its factorization.

4504955004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392331 (or 392326 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 4504955004 is about 67118.9615831473. The cubic root of 4504955004 is about 1651.5693674575.

The spelling of 4504955004 in words is "four billion, five hundred four million, nine hundred fifty-five thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 44 58 66 87 99 116 132 174 198 261 319 348 396 522 638 957 1044 1276 1914 2871 3828 5742 11484 392281 784562 1176843 1569124 2353686 3530529 4315091 4707372 7061058 8630182 11376149 12945273 14122116 17260364 22752298 25890546 34128447 38835819 45504596 51781092 68256894 77671638 102385341 125137639 136513788 155343276 204770682 250275278 375412917 409541364 500550556 750825834 1126238751 1501651668 2252477502 4504955004