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146413449 = 3271319972
BaseRepresentation
bin10001011101000…
…01011110001001
3101012111120111100
420232201132021
5244440212244
622310052013
73425331240
oct1056413611
9335446440
10146413449
1175712656
124104a009
13244445a0
1415633957
15ccc1b69
hex8ba1789

146413449 has 72 divisors (see below), whose sum is σ = 276843840. Its totient is φ = 72410112.

The previous prime is 146413439. The next prime is 146413451. The reversal of 146413449 is 944314641.

It is a happy number.

146413449 is a `hidden beast` number, since 1 + 4 + 641 + 3 + 4 + 4 + 9 = 666.

It is not a de Polignac number, because 146413449 - 24 = 146413433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (146413429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1509369 + ... + 1509465.

Almost surely, 2146413449 is an apocalyptic number.

146413449 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

146413449 is a deficient number, since it is larger than the sum of its proper divisors (130430391).

146413449 is a wasteful number, since it uses less digits than its factorization.

146413449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 139 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 146413449 is about 12100.1425198218. The cubic root of 146413449 is about 527.0603228888.

It can be divided in two parts, 146 and 413449, that added together give a triangular number (413595 = T909).

The spelling of 146413449 in words is "one hundred forty-six million, four hundred thirteen thousand, four hundred forty-nine".

Divisors: 1 3 7 9 13 19 21 39 57 63 91 97 117 133 171 247 273 291 399 679 741 819 873 1197 1261 1729 1843 2037 2223 3783 5187 5529 6111 8827 9409 11349 12901 15561 16587 23959 26481 28227 38703 65863 71877 79443 84681 116109 122317 167713 178771 197589 215631 366951 503139 536313 592767 856219 1100853 1251397 1509417 1608939 2324023 2568657 3754191 6972069 7705971 11262573 16268161 20916207 48804483 146413449