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5746464 = 2535739
BaseRepresentation
bin10101111010111100100000
3101210221200000
4111322330200
52432341324
6323100000
766562353
oct25727440
911727600
105746464
113275449
121b11600
131262799
14a9829a
157879c9
hex57af20

5746464 has 72 divisors (see below), whose sum is σ = 16969680. Its totient is φ = 1912896.

The previous prime is 5746457. The next prime is 5746471. The reversal of 5746464 is 4646475.

5746464 is a `hidden beast` number, since 5 + 7 + 4 + 646 + 4 = 666.

5746464 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5746457) and next prime (5746471).

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7407 + ... + 8145.

It is an arithmetic number, because the mean of its divisors is an integer number (235690).

Almost surely, 25746464 is an apocalyptic number.

5746464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5746464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8484840).

5746464 is an abundant number, since it is smaller than the sum of its proper divisors (11223216).

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

5746464 is an equidigital number, since it uses as much as digits as its factorization.

5746464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 744 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 5746464 is about 2397.1783413005. The cubic root of 5746464 is about 179.1156623761.

The spelling of 5746464 in words is "five million, seven hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 739 864 972 1296 1478 1944 2217 2592 2956 3888 4434 5912 6651 7776 8868 11824 13302 17736 19953 23648 26604 35472 39906 53208 59859 70944 79812 106416 119718 159624 179577 212832 239436 319248 359154 478872 638496 718308 957744 1436616 1915488 2873232 5746464