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1014072048 = 243511131181
BaseRepresentation
bin111100011100011…
…000001011110000
32121200011012100000
4330130120023300
54034100301143
6244343030000
734062320163
oct7434301360
92550135300
101014072048
11480465380
1224373b300
13132126342
1498971ada
155e060bd3
hex3c7182f0

1014072048 has 240 divisors, whose sum is σ = 3253041792. Its totient is φ = 303264000.

The previous prime is 1014072043. The next prime is 1014072067. The reversal of 1014072048 is 8402704101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014072043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5602518 + ... + 5602698.

Almost surely, 21014072048 is an apocalyptic number.

1014072048 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 1014072048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626520896).

1014072048 is an abundant number, since it is smaller than the sum of its proper divisors (2238969744).

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

1014072048 is a wasteful number, since it uses less digits than its factorization.

1014072048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 1014072048 is about 31844.4979235032. The cubic root of 1014072048 is about 1004.6688505768.

Adding to 1014072048 its reverse (8402704101), we get a palindrome (9416776149).

The spelling of 1014072048 in words is "one billion, fourteen million, seventy-two thousand, forty-eight".