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5770464 = 253731277
BaseRepresentation
bin10110000000110011100000
3101212011120220
4112000303200
52434123324
6323403040
7100022340
oct26006340
911764526
105770464
113291487
121b23480
13127069b
14aa2d20
1578eb79
hex580ce0

5770464 has 96 divisors (see below), whose sum is σ = 17934336. Its totient is φ = 1589760.

The previous prime is 5770459. The next prime is 5770469. The reversal of 5770464 is 4640775.

It is an interprime number because it is at equal distance from previous prime (5770459) and next prime (5770469).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5770469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20694 + ... + 20970.

It is an arithmetic number, because the mean of its divisors is an integer number (186816).

Almost surely, 25770464 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 5770464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8967168).

5770464 is an abundant number, since it is smaller than the sum of its proper divisors (12163872).

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

5770464 is a wasteful number, since it uses less digits than its factorization.

5770464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 5770464 is about 2402.1790108150. The cubic root of 5770464 is about 179.3646737774.

The spelling of 5770464 in words is "five million, seven hundred seventy thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 277 336 372 434 496 554 651 672 744 831 868 992 1108 1302 1488 1662 1736 1939 2216 2604 2976 3324 3472 3878 4432 5208 5817 6648 6944 7756 8587 8864 10416 11634 13296 15512 17174 20832 23268 25761 26592 31024 34348 46536 51522 60109 62048 68696 93072 103044 120218 137392 180327 186144 206088 240436 274784 360654 412176 480872 721308 824352 961744 1442616 1923488 2885232 5770464