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1244248992 = 25337419491
BaseRepresentation
bin100101000101001…
…1011101110100000
310012201021101202000
41022022123232200
510022011431432
6323244324000
742555641040
oct11212335640
93181241660
101244248992
11589389758
122a8843600
1316aa1800c
14bb36b720
157437b57c
hex4a29bba0

1244248992 has 192 divisors, whose sum is σ = 4165862400. Its totient is φ = 353928960.

The previous prime is 1244248981. The next prime is 1244249003. The reversal of 1244248992 is 2998424421.

1244248992 is a `hidden beast` number, since 124 + 42 + 489 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1244248981) and next prime (1244249003).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2533867 + ... + 2534357.

It is an arithmetic number, because the mean of its divisors is an integer number (21697200).

Almost surely, 21244248992 is an apocalyptic number.

1244248992 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 1244248992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2082931200).

1244248992 is an abundant number, since it is smaller than the sum of its proper divisors (2921613408).

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

1244248992 is a wasteful number, since it uses less digits than its factorization.

1244248992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 936 (or 922 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1244248992 is about 35273.9137607383. The cubic root of 1244248992 is about 1075.5627821562.

The spelling of 1244248992 in words is "one billion, two hundred forty-four million, two hundred forty-eight thousand, nine hundred ninety-two".