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9058464 = 253271443
BaseRepresentation
bin100010100011…
…100010100000
3122001012212200
4202203202200
54304332324
6522053200
7136665342
oct42434240
918035780
109058464
115127838
12304a200
131b5214c
1412bb292
15bddec9
hex8a38a0

9058464 has 72 divisors (see below), whose sum is σ = 26181792. Its totient is φ = 2970240.

The previous prime is 9058463. The next prime is 9058471. The reversal of 9058464 is 4648509.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (9058463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20227 + ... + 20669.

It is an arithmetic number, because the mean of its divisors is an integer number (363636).

Almost surely, 29058464 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 9058464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13090896).

9058464 is an abundant number, since it is smaller than the sum of its proper divisors (17123328).

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

9058464 is a wasteful number, since it uses less digits than its factorization.

9058464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 9058464 is about 3009.7282269335. The cubic root of 9058464 is about 208.4578180112.

The spelling of 9058464 in words is "nine million, fifty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 71 72 96 142 144 213 284 288 426 443 568 639 852 886 1136 1278 1329 1704 1772 2272 2556 2658 3408 3544 3987 5112 5316 6816 7088 7974 10224 10632 14176 15948 20448 21264 31453 31896 42528 62906 63792 94359 125812 127584 188718 251624 283077 377436 503248 566154 754872 1006496 1132308 1509744 2264616 3019488 4529232 9058464