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159745456 = 24132971373
BaseRepresentation
bin10011000010110…
…00010110110000
3102010120220120101
421201120112300
5311343323311
623503522144
73646546123
oct1141302660
9363526511
10159745456
1182199142
12455b9354
1327131950
14173043ba
15e056ec1
hex98585b0

159745456 has 80 divisors (see below), whose sum is σ = 350602560. Its totient is φ = 69995520.

The previous prime is 159745441. The next prime is 159745457. The reversal of 159745456 is 654547951.

It is a super-2 number, since 2×1597454562 = 51037221425295872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159745457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 428086 + ... + 428458.

It is an arithmetic number, because the mean of its divisors is an integer number (4382532).

Almost surely, 2159745456 is an apocalyptic number.

159745456 is a gapful number since it is divisible by the number (16) 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 159745456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175301280).

159745456 is an abundant number, since it is smaller than the sum of its proper divisors (190857104).

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

159745456 is a wasteful number, since it uses less digits than its factorization.

159745456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its digits is 756000, while the sum is 46.

The square root of 159745456 is about 12639.0449006244. The cubic root of 159745456 is about 542.5954793828.

The spelling of 159745456 in words is "one hundred fifty-nine million, seven hundred forty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 29 52 58 71 104 116 142 208 232 284 373 377 464 568 746 754 923 1136 1492 1508 1846 2059 2984 3016 3692 4118 4849 5968 6032 7384 8236 9698 10817 14768 16472 19396 21634 26483 26767 32944 38792 43268 52966 53534 77584 86536 105932 107068 140621 173072 211864 214136 281242 344279 423728 428272 562484 688558 768007 1124968 1377116 1536014 2249936 2754232 3072028 5508464 6144056 9984091 12288112 19968182 39936364 79872728 159745456