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152764417 = 1322751767
BaseRepresentation
bin10010001101100…
…00000000000001
3101122110020101101
421012300000001
5303101430132
623054134401
73533322211
oct1106600001
9348406341
10152764417
1179260193
12431b1401
1325859260
1416408241
15d6287e7
hex91b0001

152764417 has 8 divisors (see below), whose sum is σ = 165243456. Its totient is φ = 140389392.

The previous prime is 152764411. The next prime is 152764421. The reversal of 152764417 is 714467251.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 152764417 - 27 = 152764289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152764411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22933 + ... + 28834.

It is an arithmetic number, because the mean of its divisors is an integer number (20655432).

It is a Proth number, since it is equal to 2331 ⋅ 216 + 1 and 2331 < 216.

Almost surely, 2152764417 is an apocalyptic number.

It is an amenable number.

152764417 is a deficient number, since it is larger than the sum of its proper divisors (12479039).

152764417 is a wasteful number, since it uses less digits than its factorization.

152764417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52007.

The product of its digits is 47040, while the sum is 37.

The square root of 152764417 is about 12359.7903299368. The cubic root of 152764417 is about 534.5734708529.

It can be divided in two parts, 152764 and 417, that added together give a triangular number (153181 = T553).

The spelling of 152764417 in words is "one hundred fifty-two million, seven hundred sixty-four thousand, four hundred seventeen".

Divisors: 1 13 227 2951 51767 672971 11751109 152764417