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45454464 = 27321117211
BaseRepresentation
bin1010110101100…
…1010010000000
310011112022210200
42231121102000
543114020324
64302125200
71061233206
oct255312200
9104468720
1045454464
1123726680
1213280800
139556443
146073076
153eccec9
hex2b59480

45454464 has 192 divisors, whose sum is σ = 151800480. Its totient is φ = 12902400.

The previous prime is 45454459. The next prime is 45454469. The reversal of 45454464 is 46445454.

45454464 is a `hidden beast` number, since 4 + 54 + 544 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (45454459) and next prime (45454469).

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×454544642 = 4132216595054592, which contains 22 as substring.

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 (45454469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 215319 + ... + 215529.

Almost surely, 245454464 is an apocalyptic number.

45454464 is a gapful number since it is divisible by the number (44) 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 45454464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75900240).

45454464 is an abundant number, since it is smaller than the sum of its proper divisors (106346016).

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

45454464 is a wasteful number, since it uses less digits than its factorization.

45454464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 244 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 45454464 is about 6741.9925837989. The cubic root of 45454464 is about 356.8827145736.

It can be divided in two parts, 4545 and 4464, that added together give a palindrome (9009).

The spelling of 45454464 in words is "forty-five million, four hundred fifty-four thousand, four hundred sixty-four".