Search a number
-
+
5506921440 = 253257352387
BaseRepresentation
bin1010010000011110…
…01111001111100000
3112012210020121001100
411020033033033200
542234232441230
62310240234400
7253316026356
oct51017171740
915183217040
105506921440
112376571649
12109830ba00
13699b981c7
143a35397d6
152236da660
hex1483cf3e0

5506921440 has 144 divisors (see below), whose sum is σ = 19050162768. Its totient is φ = 1448368128.

The previous prime is 5506921439. The next prime is 5506921451. The reversal of 5506921440 is 441296055.

5506921440 is a `hidden beast` number, since 5 + 506 + 9 + 2 + 144 + 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 junction number, because it is equal to n+sod(n) for n = 5506921395 and 5506921404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78927 + ... + 131313.

It is an arithmetic number, because the mean of its divisors is an integer number (132292797).

Almost surely, 25506921440 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 5506921440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9525081384).

5506921440 is an abundant number, since it is smaller than the sum of its proper divisors (13543241328).

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

5506921440 is a wasteful number, since it uses less digits than its factorization.

5506921440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52481 (or 52470 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 5506921440 is about 74208.6345380374. The cubic root of 5506921440 is about 1765.9143146715.

The spelling of 5506921440 in words is "five billion, five hundred six million, nine hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 73 80 90 96 120 144 146 160 180 219 240 288 292 360 365 438 480 584 657 720 730 876 1095 1168 1314 1440 1460 1752 2190 2336 2628 2920 3285 3504 4380 5256 5840 6570 7008 8760 10512 11680 13140 17520 21024 26280 35040 52387 52560 104774 105120 157161 209548 261935 314322 419096 471483 523870 628644 785805 838192 942966 1047740 1257288 1571610 1676384 1885932 2095480 2357415 2514576 3143220 3771864 3824251 4190960 4714830 5029152 6286440 7543728 7648502 8381920 9429660 11472753 12572880 15087456 15297004 18859320 19121255 22945506 25145760 30594008 34418259 37718640 38242510 45891012 57363765 61188016 68836518 75437280 76485020 91782024 114727530 122376032 137673036 152970040 172091295 183564048 229455060 275346072 305940080 344182590 367128096 458910120 550692144 611880160 688365180 917820240 1101384288 1376730360 1835640480 2753460720 5506921440