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145769805 = 32519295879
BaseRepresentation
bin10001011000001…
…00010101001101
3101011021212120200
420230010111031
5244304113210
622244204113
73420010566
oct1054042515
9334255520
10145769805
1175313015
1240999639
132427a62c
141550716d
15cbe60c0
hex8b0454d

145769805 has 48 divisors (see below), whose sum is σ = 275184000. Its totient is φ = 71100288.

The previous prime is 145769797. The next prime is 145769821. The reversal of 145769805 is 508967541.

It is not a de Polignac number, because 145769805 - 23 = 145769797 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 21856 + ... + 27734.

It is an arithmetic number, because the mean of its divisors is an integer number (5733000).

Almost surely, 2145769805 is an apocalyptic number.

145769805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145769805 is a deficient number, since it is larger than the sum of its proper divisors (129414195).

145769805 is a wasteful number, since it uses less digits than its factorization.

145769805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5938 (or 5935 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 145769805 is about 12073.5166790790. The cubic root of 145769805 is about 526.2868567420.

The spelling of 145769805 in words is "one hundred forty-five million, seven hundred sixty-nine thousand, eight hundred five".

Divisors: 1 3 5 9 15 19 29 45 57 87 95 145 171 261 285 435 551 855 1305 1653 2755 4959 5879 8265 17637 24795 29395 52911 88185 111701 170491 264555 335103 511473 558505 852455 1005309 1534419 1675515 2557365 3239329 5026545 7672095 9717987 16196645 29153961 48589935 145769805