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40160448 = 263461127
BaseRepresentation
bin1001100100110…
…0110011000000
32210120100210000
42121030303000
540240113243
63552440000
7665233566
oct231146300
983510700
1040160448
1120740159
1211549000
1384218a3
145495a36
1537d45d3
hex264ccc0

40160448 has 140 divisors (see below), whose sum is σ = 121952512. Its totient is φ = 13063680.

The previous prime is 40160441. The next prime is 40160459. The reversal of 40160448 is 84406104.

It is a super-2 number, since 2×401604482 = 3225723167121408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40160441) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 316161 + ... + 316287.

Almost surely, 240160448 is an apocalyptic number.

40160448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40160448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60976256).

40160448 is an abundant number, since it is smaller than the sum of its proper divisors (81792064).

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

40160448 is a wasteful number, since it uses less digits than its factorization.

40160448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 40160448 is about 6337.2271538899. The cubic root of 40160448 is about 342.4518496610.

The spelling of 40160448 in words is "forty million, one hundred sixty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 81 96 108 122 127 144 162 183 192 216 244 254 288 324 366 381 432 488 508 549 576 648 732 762 864 976 1016 1098 1143 1296 1464 1524 1647 1728 1952 2032 2196 2286 2592 2928 3048 3294 3429 3904 4064 4392 4572 4941 5184 5856 6096 6588 6858 7747 8128 8784 9144 9882 10287 11712 12192 13176 13716 15494 17568 18288 19764 20574 23241 24384 26352 27432 30988 35136 36576 39528 41148 46482 52704 54864 61976 69723 73152 79056 82296 92964 105408 109728 123952 139446 158112 164592 185928 209169 219456 247904 278892 316224 329184 371856 418338 495808 557784 627507 658368 743712 836676 1115568 1255014 1487424 1673352 2231136 2510028 3346704 4462272 5020056 6693408 10040112 13386816 20080224 40160448