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40803264 = 263417463
BaseRepresentation
bin1001101110100…
…1101111000000
32211210000120000
42123221233000
540421201024
64014320000
71003551645
oct233515700
984700500
1040803264
112103a107
12117b9000
1385b8358
1455c1dcc
1538aecc9
hex26e9bc0

40803264 has 140 divisors (see below), whose sum is σ = 128345184. Its totient is φ = 12773376.

The previous prime is 40803253. The next prime is 40803299. The reversal of 40803264 is 46230804.

40803264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 87897 + ... + 88359.

Almost surely, 240803264 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 40803264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64172592).

40803264 is an abundant number, since it is smaller than the sum of its proper divisors (87541920).

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

40803264 is a wasteful number, since it uses less digits than its factorization.

40803264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 40803264 is about 6387.7432634695. The cubic root of 40803264 is about 344.2693041704.

The spelling of 40803264 in words is "forty million, eight hundred three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 463 544 576 612 648 816 864 918 926 1088 1224 1296 1377 1389 1632 1728 1836 1852 2448 2592 2754 2778 3264 3672 3704 4167 4896 5184 5508 5556 7344 7408 7871 8334 9792 11016 11112 12501 14688 14816 15742 16668 22032 22224 23613 25002 29376 29632 31484 33336 37503 44064 44448 47226 50004 62968 66672 70839 75006 88128 88896 94452 100008 125936 133344 141678 150012 188904 200016 212517 251872 266688 283356 300024 377808 400032 425034 503744 566712 600048 637551 755616 800064 850068 1133424 1200096 1275102 1511232 1700136 2266848 2400192 2550204 3400272 4533696 5100408 6800544 10200816 13601088 20401632 40803264