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40076208 = 2434172107
BaseRepresentation
bin1001100011100…
…0001110110000
32210102002020000
42120320032300
540224414313
63550550000
7664433154
oct230701660
983362200
1040076208
1120692937
1211508300
1383c2443
145473064
1537b9673
hex26383b0

40076208 has 150 divisors (see below), whose sum is σ = 124368156. Its totient is φ = 12455424.

The previous prime is 40076177. The next prime is 40076209. The reversal of 40076208 is 80267004.

It is a super-2 number, since 2×400762082 = 3212204895318528, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (40076209) by changing a digit.

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 29 ways as a sum of consecutive naturals, for example, 374491 + ... + 374597.

Almost surely, 240076208 is an apocalyptic number.

40076208 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 40076208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62184078).

40076208 is an abundant number, since it is smaller than the sum of its proper divisors (84291948).

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

40076208 is a wasteful number, since it uses less digits than its factorization.

40076208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 40076208 is about 6330.5772248666. The cubic root of 40076208 is about 342.2122412961.

The spelling of 40076208 in words is "forty million, seventy-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 107 108 136 144 153 162 204 214 216 272 289 306 321 324 408 428 432 459 578 612 642 648 816 856 867 918 963 1156 1224 1284 1296 1377 1712 1734 1819 1836 1926 2312 2448 2568 2601 2754 2889 3468 3638 3672 3852 4624 5136 5202 5457 5508 5778 6936 7276 7344 7704 7803 8667 10404 10914 11016 11556 13872 14552 15408 15606 16371 17334 20808 21828 22032 23112 23409 29104 30923 31212 32742 34668 41616 43656 46224 46818 49113 61846 62424 65484 69336 87312 92769 93636 98226 123692 124848 130968 138672 147339 185538 187272 196452 247384 261936 278307 294678 371076 374544 392904 494768 556614 589356 742152 785808 834921 1113228 1178712 1484304 1669842 2226456 2357424 2504763 3339684 4452912 5009526 6679368 10019052 13358736 20038104 40076208