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159369952 = 2572374167
BaseRepresentation
bin10010111111111…
…00101011100000
3102002212211110211
421133330223200
5311244314302
623451503504
73643423300
oct1137745340
9362784424
10159369952
1181a62005
1245457b94
132702ca61
1417247600
15ded0ad7
hex97fcae0

159369952 has 144 divisors (see below), whose sum is σ = 389724048. Its totient is φ = 63866880.

The previous prime is 159369949. The next prime is 159369961. The reversal of 159369952 is 259963951.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 159369896 and 159369905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2378623 + ... + 2378689.

It is an arithmetic number, because the mean of its divisors is an integer number (2706417).

Almost surely, 2159369952 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 159369952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194862024).

159369952 is an abundant number, since it is smaller than the sum of its proper divisors (230354096).

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

159369952 is a wasteful number, since it uses less digits than its factorization.

159369952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 154 counting only the distinct ones).

The product of its digits is 656100, while the sum is 49.

The square root of 159369952 is about 12624.1812407776. The cubic root of 159369952 is about 542.1699970105.

The spelling of 159369952 in words is "one hundred fifty-nine million, three hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 37 41 49 56 67 74 82 98 112 134 148 164 196 224 259 268 287 296 328 392 469 518 536 574 592 656 784 938 1036 1072 1148 1184 1312 1517 1568 1813 1876 2009 2072 2144 2296 2479 2747 3034 3283 3626 3752 4018 4144 4592 4958 5494 6068 6566 7252 7504 8036 8288 9184 9916 10619 10988 12136 13132 14504 15008 16072 17353 19229 19832 21238 21976 24272 26264 29008 32144 34706 38458 39664 42476 43952 48544 52528 58016 64288 69412 74333 76916 79328 84952 87904 101639 105056 121471 134603 138824 148666 153832 169904 203278 242942 269206 277648 297332 307664 339808 406556 485884 538412 555296 594664 615328 711473 813112 971768 1076824 1189328 1422946 1626224 1943536 2153648 2378656 2845892 3252448 3887072 4307296 4980311 5691784 9960622 11383568 19921244 22767136 39842488 79684976 159369952