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445479424 = 29131731127
BaseRepresentation
bin11010100011010…
…111101000000000
31011001020200212221
4122203113220000
51403020320144
6112112100424
714016340555
oct3243275000
91131220787
10445479424
11209509315
12105234714
13713a61c0
1443242a2c
1529198d84
hex1a8d7a00

445479424 has 160 divisors (see below), whose sum is σ = 1055932416. Its totient is φ = 185794560.

The previous prime is 445479421. The next prime is 445479427. The reversal of 445479424 is 424974544.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (445479421) and next prime (445479427).

It is not an unprimeable number, because it can be changed into a prime (445479421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3507649 + ... + 3507775.

Almost surely, 2445479424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 445479424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527966208).

445479424 is an abundant number, since it is smaller than the sum of its proper divisors (610452992).

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

445479424 is a wasteful number, since it uses less digits than its factorization.

445479424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 190 counting only the distinct ones).

The product of its digits is 645120, while the sum is 43.

The square root of 445479424 is about 21106.3834893617. The cubic root of 445479424 is about 763.7347470576.

The spelling of 445479424 in words is "four hundred forty-five million, four hundred seventy-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 17 26 31 32 34 52 62 64 68 104 124 127 128 136 208 221 248 254 256 272 403 416 442 496 508 512 527 544 806 832 884 992 1016 1054 1088 1612 1651 1664 1768 1984 2032 2108 2159 2176 3224 3302 3328 3536 3937 3968 4064 4216 4318 4352 6448 6604 6656 6851 7072 7874 7936 8128 8432 8636 8704 12896 13208 13702 14144 15748 15872 16256 16864 17272 25792 26416 27404 28067 28288 31496 32512 33728 34544 51181 51584 52832 54808 56134 56576 62992 65024 66929 67456 69088 102362 103168 105664 109616 112268 113152 125984 133858 134912 138176 204724 206336 211328 219232 224536 251968 267716 269824 276352 409448 422656 438464 449072 503936 535432 552704 818896 845312 870077 876928 898144 1007872 1070864 1105408 1637792 1740154 1753856 1796288 2015744 2141728 3275584 3480308 3507712 3592576 4283456 6551168 6960616 7185152 8566912 13102336 13921232 14370304 17133824 26204672 27842464 34267648 55684928 111369856 222739712 445479424