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550466640 = 243256711411
BaseRepresentation
bin100000110011110…
…111010001010000
31102100210121021100
4200303313101100
52111404413030
6130342224400
716432614003
oct4063672120
91370717240
10550466640
112627a6809
12134425100
138a074a09
145317153a
15334d6360
hex20cf7450

550466640 has 120 divisors (see below), whose sum is σ = 1876406688. Its totient is φ = 144587520.

The previous prime is 550466633. The next prime is 550466671. The reversal of 550466640 is 46664055.

550466640 = T429 + T430 + ... + T1500.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 = 550466595 and 550466604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42535 + ... + 53945.

Almost surely, 2550466640 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 550466640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (938203344).

550466640 is an abundant number, since it is smaller than the sum of its proper divisors (1325940048).

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

550466640 is a wasteful number, since it uses less digits than its factorization.

550466640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11497 (or 11488 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 550466640 is about 23462.0254880093. The cubic root of 550466640 is about 819.5529190865.

The spelling of 550466640 in words is "five hundred fifty million, four hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 335 360 402 536 603 670 720 804 1005 1072 1206 1340 1608 2010 2412 2680 3015 3216 4020 4824 5360 6030 8040 9648 11411 12060 16080 22822 24120 34233 45644 48240 57055 68466 91288 102699 114110 136932 171165 182576 205398 228220 273864 342330 410796 456440 513495 547728 684660 764537 821592 912880 1026990 1369320 1529074 1643184 2053980 2293611 2738640 3058148 3822685 4107960 4587222 6116296 6880833 7645370 8215920 9174444 11468055 12232592 13761666 15290740 18348888 22936110 27523332 30581480 34404165 36697776 45872220 55046664 61162960 68808330 91744440 110093328 137616660 183488880 275233320 550466640