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1454960448 = 263331157173
BaseRepresentation
bin101011010111000…
…1110111101000000
310202101202122112000
41112232032331000
510434432213243
6400212504000
751024650124
oct12656167500
93671678460
101454960448
11687318357
1234731b000
131a2582956
14db33b584
1587aee5d3
hex56b8ef40

1454960448 has 224 divisors, whose sum is σ = 4469099520. Its totient is φ = 463656960.

The previous prime is 1454960443. The next prime is 1454960501. The reversal of 1454960448 is 8440694541.

1454960448 is a `hidden beast` number, since 1 + 4 + 549 + 60 + 4 + 48 = 666.

1454960448 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1454960443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8410090 + ... + 8410262.

Almost surely, 21454960448 is an apocalyptic number.

1454960448 is a gapful number since it is divisible by the number (18) 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 1454960448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234549760).

1454960448 is an abundant number, since it is smaller than the sum of its proper divisors (3014139072).

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

1454960448 is a wasteful number, since it uses less digits than its factorization.

1454960448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 1454960448 is about 38143.9437919049. The cubic root of 1454960448 is about 1133.1404140676.

The spelling of 1454960448 in words is "one billion, four hundred fifty-four million, nine hundred sixty thousand, four hundred forty-eight".