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146755441 = 7217414297
BaseRepresentation
bin10001011111101…
…00111101110001
3101020010221121201
420233310331301
5300032133231
622321251201
73431254300
oct1057647561
9336127551
10146755441
1175926598
1241193b01
1324534151
14156c2437
15cd3d161
hex8bf4f71

146755441 has 24 divisors (see below), whose sum is σ = 185209416. Its totient is φ = 115476480.

The previous prime is 146755439. The next prime is 146755451. The reversal of 146755441 is 144557641.

It can be written as a sum of positive squares in 4 ways, for example, as 10916416 + 135839025 = 3304^2 + 11655^2 .

It is not a de Polignac number, because 146755441 - 21 = 146755439 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 146755441.

It is not an unprimeable number, because it can be changed into a prime (146755421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32005 + ... + 36301.

It is an arithmetic number, because the mean of its divisors is an integer number (7717059).

Almost surely, 2146755441 is an apocalyptic number.

It is an amenable number.

146755441 is a deficient number, since it is larger than the sum of its proper divisors (38453975).

146755441 is a wasteful number, since it uses less digits than its factorization.

146755441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4369 (or 4362 counting only the distinct ones).

The product of its digits is 67200, while the sum is 37.

The square root of 146755441 is about 12114.2660116080. The cubic root of 146755441 is about 527.4703723168.

The spelling of 146755441 in words is "one hundred forty-six million, seven hundred fifty-five thousand, four hundred forty-one".

Divisors: 1 7 17 41 49 119 287 697 833 2009 4297 4879 30079 34153 73049 176177 210553 511343 1233239 2995009 3579401 8632673 20965063 146755441