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145916742 = 23157191811
BaseRepresentation
bin10001011001010…
…00001101000110
3101011120100010210
420230220031012
5244323313432
622251300250
73421162146
oct1054501506
9334510123
10145916742
1175403454
1240a4a686
13242cc48a
1415544926
15cc248cc
hex8b28346

145916742 has 32 divisors (see below), whose sum is σ = 295593984. Its totient is φ = 48016800.

The previous prime is 145916731. The next prime is 145916747. The reversal of 145916742 is 247619541.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 145916742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145916747) 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, 179517 + ... + 180327.

It is an arithmetic number, because the mean of its divisors is an integer number (9237312).

Almost surely, 2145916742 is an apocalyptic number.

145916742 is an abundant number, since it is smaller than the sum of its proper divisors (149677242).

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

145916742 is a wasteful number, since it uses less digits than its factorization.

145916742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164.

The product of its digits is 60480, while the sum is 39.

The square root of 145916742 is about 12079.6002417299. The cubic root of 145916742 is about 526.4636309901.

The spelling of 145916742 in words is "one hundred forty-five million, nine hundred sixteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 157 191 314 382 471 573 811 942 1146 1622 2433 4866 29987 59974 89961 127327 154901 179922 254654 309802 381981 464703 763962 929406 24319457 48638914 72958371 145916742