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5770368 = 27325009
BaseRepresentation
bin10110000000110010000000
3101212011110100
4112000302000
52434122433
6323402400
7100022142
oct26006200
911764410
105770368
1132913aa
121b23400
131270626
14aa2c92
1578eb13
hex580c80

5770368 has 48 divisors (see below), whose sum is σ = 16608150. Its totient is φ = 1923072.

The previous prime is 5770367. The next prime is 5770379. The reversal of 5770368 is 8630775.

It can be written as a sum of positive squares in only one way, i.e., 4981824 + 788544 = 2232^2 + 888^2 .

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a d-powerful number, because it can be written as 55 + 74 + 78 + 0 + 33 + 6 + 8 .

It is not an unprimeable number, because it can be changed into a prime (5770367) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1353 + ... + 3656.

Almost surely, 25770368 is an apocalyptic number.

It is an amenable number.

5770368 is an abundant number, since it is smaller than the sum of its proper divisors (10837782).

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

5770368 is a wasteful number, since it uses less digits than its factorization.

5770368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5029 (or 5014 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5770368 is about 2402.1590288738. The cubic root of 5770368 is about 179.3636791084.

The spelling of 5770368 in words is "five million, seven hundred seventy thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 5009 10018 15027 20036 30054 40072 45081 60108 80144 90162 120216 160288 180324 240432 320576 360648 480864 641152 721296 961728 1442592 1923456 2885184 5770368