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755640066 = 23293124519
BaseRepresentation
bin101101000010100…
…010011100000010
31221122212111022010
4231002202130002
53021420440231
6202551553350
724503556156
oct5502423402
91848774263
10755640066
113585a2625
1219108b856
13c07209cc
14724dd066
1546513546
hex2d0a2702

755640066 has 48 divisors (see below), whose sum is σ = 1615809600. Its totient is φ = 235297440.

The previous prime is 755640059. The next prime is 755640079. The reversal of 755640066 is 660046557.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 164955 + ... + 169473.

It is an arithmetic number, because the mean of its divisors is an integer number (33662700).

Almost surely, 2755640066 is an apocalyptic number.

755640066 is an abundant number, since it is smaller than the sum of its proper divisors (860169534).

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

755640066 is a wasteful number, since it uses less digits than its factorization.

755640066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4615 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 755640066 is about 27488.9080539770. The cubic root of 755640066 is about 910.8320956478.

The spelling of 755640066 in words is "seven hundred fifty-five million, six hundred forty thousand, sixty-six".

Divisors: 1 2 3 6 29 31 58 62 87 93 174 186 899 961 1798 1922 2697 2883 4519 5394 5766 9038 13557 27114 27869 55738 83607 131051 140089 167214 262102 280178 393153 420267 786306 840534 4062581 4342759 8125162 8685518 12187743 13028277 24375486 26056554 125940011 251880022 377820033 755640066