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152369217 = 327111321301
BaseRepresentation
bin10010001010011…
…11100001000001
3101121201011021100
421011033201001
5303001303332
623041445013
73530055060
oct1105174101
9347634240
10152369217
1179010280
1243040769
132574b400
14163441d7
15d59b67c
hex914f841

152369217 has 72 divisors (see below), whose sum is σ = 297355968. Its totient is φ = 73008000.

The previous prime is 152369213. The next prime is 152369221. The reversal of 152369217 is 712963251.

It is an interprime number because it is at equal distance from previous prime (152369213) and next prime (152369221).

It is not a de Polignac number, because 152369217 - 22 = 152369213 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152369213) 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 71 ways as a sum of consecutive naturals, for example, 116467 + ... + 117767.

It is an arithmetic number, because the mean of its divisors is an integer number (4129944).

Almost surely, 2152369217 is an apocalyptic number.

It is an amenable number.

152369217 is a deficient number, since it is larger than the sum of its proper divisors (144986751).

152369217 is a wasteful number, since it uses less digits than its factorization.

152369217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1351 (or 1335 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 152369217 is about 12343.7926505592. The cubic root of 152369217 is about 534.1120940460.

The spelling of 152369217 in words is "one hundred fifty-two million, three hundred sixty-nine thousand, two hundred seventeen".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 117 143 169 231 273 429 507 693 819 1001 1183 1287 1301 1521 1859 3003 3549 3903 5577 9009 9107 10647 11709 13013 14311 16731 16913 27321 39039 42933 50739 81963 100177 117117 118391 128799 152217 186043 219869 300531 355173 558129 659607 901593 1065519 1302301 1539083 1674387 1978821 2418559 3906903 4617249 7255677 11720709 13851747 16929913 21767031 50789739 152369217