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1493944608 = 253136611811
BaseRepresentation
bin101100100001011…
…1100100100100000
310212010010020201210
41121002330210200
511024422211413
6404124230120
752010214432
oct13102744440
93763106653
101493944608
116a7324772
1235839b340
131aa681cc0
141025a8652
158b2503c3
hex590bc920

1493944608 has 96 divisors (see below), whose sum is σ = 4231991232. Its totient is φ = 458726400.

The previous prime is 1493944607. The next prime is 1493944609. The reversal of 1493944608 is 8064493941.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1493944607) and next prime (1493944609).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1493944601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 824023 + ... + 825833.

It is an arithmetic number, because the mean of its divisors is an integer number (44083242).

Almost surely, 21493944608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1493944608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115995616).

1493944608 is an abundant number, since it is smaller than the sum of its proper divisors (2738046624).

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

1493944608 is a wasteful number, since it uses less digits than its factorization.

1493944608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2498 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 1493944608 is about 38651.5796313682. The cubic root of 1493944608 is about 1143.1717887700.

The spelling of 1493944608 in words is "one billion, four hundred ninety-three million, nine hundred forty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 661 1248 1322 1811 1983 2644 3622 3966 5288 5433 7244 7932 8593 10576 10866 14488 15864 17186 21152 21732 23543 25779 28976 31728 34372 43464 47086 51558 57952 63456 68744 70629 86928 94172 103116 137488 141258 173856 188344 206232 274976 282516 376688 412464 565032 753376 824928 1130064 1197071 2260128 2394142 3591213 4788284 7182426 9576568 14364852 15561923 19153136 28729704 31123846 38306272 46685769 57459408 62247692 93371538 114918816 124495384 186743076 248990768 373486152 497981536 746972304 1493944608