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552461440 = 2752693209
BaseRepresentation
bin100000111011011…
…110010010000000
31102111112221121211
4200323132102000
52112412231230
6130453055504
716455562516
oct4073362200
91374487554
10552461440
11263939503
12135027594
138a5c297b
14535304b6
153377c42a
hex20ede480

552461440 has 64 divisors (see below), whose sum is σ = 1326051000. Its totient is φ = 220094464.

The previous prime is 552461419. The next prime is 552461471. The reversal of 552461440 is 44164255.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 326019136 + 226442304 = 18056^2 + 15048^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170556 + ... + 173764.

Almost surely, 2552461440 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 552461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663025500).

552461440 is an abundant number, since it is smaller than the sum of its proper divisors (773589560).

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

552461440 is a wasteful number, since it uses less digits than its factorization.

552461440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3497 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

The square root of 552461440 is about 23504.4982928800. The cubic root of 552461440 is about 820.5417003670.

The spelling of 552461440 in words is "five hundred fifty-two million, four hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 269 320 538 640 1076 1345 2152 2690 3209 4304 5380 6418 8608 10760 12836 16045 17216 21520 25672 32090 34432 43040 51344 64180 86080 102688 128360 172160 205376 256720 410752 513440 863221 1026880 1726442 2053760 3452884 4316105 6905768 8632210 13811536 17264420 27623072 34528840 55246144 69057680 110492288 138115360 276230720 552461440