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1448316900 = 22325223313761
BaseRepresentation
bin101011001010011…
…1000111111100100
310201221021010021200
41112110320333210
510431232120100
6355414242500
750614330152
oct12624707744
93657233250
101448316900
1168359aa18
12345056430
131a1097a64
14da4cc3d2
158723ae00
hex56538fe4

1448316900 has 432 divisors, whose sum is σ = 5104339968. Its totient is φ = 342144000.

The previous prime is 1448316893. The next prime is 1448316949. The reversal of 1448316900 is 96138441.

1448316900 is a `hidden beast` number, since 14 + 483 + 169 + 0 + 0 = 666.

It is a super-2 number, since 2×14483169002 = 4195243685651220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23742870 + ... + 23742930.

Almost surely, 21448316900 is an apocalyptic number.

1448316900 is a gapful number since it is divisible by the number (10) 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 1448316900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552169984).

1448316900 is an abundant number, since it is smaller than the sum of its proper divisors (3656023068).

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

1448316900 is a wasteful number, since it uses less digits than its factorization.

1448316900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1448316900 is about 38056.7589266348. The cubic root of 1448316900 is about 1131.4130910635.

The spelling of 1448316900 in words is "one billion, four hundred forty-eight million, three hundred sixteen thousand, nine hundred".