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1542455640 = 23325111273067
BaseRepresentation
bin101101111110000…
…0000000101011000
310222111101212100200
41123330000011120
511124332040030
6413020102200
753136441135
oct13374000530
93874355320
101542455640
11721748830
12370694960
131b773875b
14108bd558c
1590633d60
hex5bf00158

1542455640 has 192 divisors, whose sum is σ = 5513564160. Its totient is φ = 370863360.

The previous prime is 1542455609. The next prime is 1542455641. The reversal of 1542455640 is 465542451.

1542455640 is a `hidden beast` number, since 1 + 5 + 4 + 2 + 4 + 5 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1542455595 and 1542455604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1542455641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 501387 + ... + 504453.

It is an arithmetic number, because the mean of its divisors is an integer number (28716480).

Almost surely, 21542455640 is an apocalyptic number.

1542455640 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 1542455640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756782080).

1542455640 is an abundant number, since it is smaller than the sum of its proper divisors (3971108520).

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

1542455640 is a wasteful number, since it uses less digits than its factorization.

1542455640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 1542455640 is about 39274.1090287227. The cubic root of 1542455640 is about 1155.4138282103.

The spelling of 1542455640 in words is "one billion, five hundred forty-two million, four hundred fifty-five thousand, six hundred forty".