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1244414900 = 225246726647
BaseRepresentation
bin100101000101100…
…0100001110110100
310012201120211022202
41022023010032310
510022032234100
6323252044032
742560231531
oct11213041664
93181524282
101244414900
11589492373
122a8903618
1316aa756a1
14bb3b1d88
15743b07d5
hex4a2c43b4

1244414900 has 36 divisors (see below), whose sum is σ = 2706264288. Its totient is φ = 496681440.

The previous prime is 1244414893. The next prime is 1244414939. The reversal of 1244414900 is 94144421.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 33377 + ... + 60023.

It is an arithmetic number, because the mean of its divisors is an integer number (75174008).

Almost surely, 21244414900 is an apocalyptic number.

1244414900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1244414900 is an abundant number, since it is smaller than the sum of its proper divisors (1461849388).

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

1244414900 is a wasteful number, since it uses less digits than its factorization.

1244414900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27128 (or 27121 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 1244414900 is about 35276.2653919034. The cubic root of 1244414900 is about 1075.6105851657.

The spelling of 1244414900 in words is "one billion, two hundred forty-four million, four hundred fourteen thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 467 934 1868 2335 4670 9340 11675 23350 26647 46700 53294 106588 133235 266470 532940 666175 1332350 2664700 12444149 24888298 49776596 62220745 124441490 248882980 311103725 622207450 1244414900