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1540454952 = 23341238183
BaseRepresentation
bin101101111010001…
…0111101000101000
310222100122012221010
41123310113220220
511123324024302
6412505143520
753113436211
oct13364275050
93870565833
101540454952
11720601673
1236ba8aba0
131b71b7c0a
14108834408
159038b16c
hex5bd17a28

1540454952 has 48 divisors (see below), whose sum is σ = 3947461920. Its totient is φ = 500947840.

The previous prime is 1540454947. The next prime is 1540454959. The reversal of 1540454952 is 2594540451.

It is a self number, because there is not a number n which added to its sum of digits gives 1540454952.

It is not an unprimeable number, because it can be changed into a prime (1540454959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21253 + ... + 59435.

It is an arithmetic number, because the mean of its divisors is an integer number (82238790).

Almost surely, 21540454952 is an apocalyptic number.

1540454952 is a gapful number since it is divisible by the number (12) 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 1540454952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973730960).

1540454952 is an abundant number, since it is smaller than the sum of its proper divisors (2407006968).

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

1540454952 is a wasteful number, since it uses less digits than its factorization.

1540454952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38274 (or 38229 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 39.

The square root of 1540454952 is about 39248.6299378717. The cubic root of 1540454952 is about 1154.9140574346.

The spelling of 1540454952 in words is "one billion, five hundred forty million, four hundred fifty-four thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 1681 3362 5043 6724 10086 13448 20172 38183 40344 76366 114549 152732 229098 305464 458196 916392 1565503 3131006 4696509 6262012 9393018 12524024 18786036 37572072 64185623 128371246 192556869 256742492 385113738 513484984 770227476 1540454952