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40269312 = 2934971
BaseRepresentation
bin1001100110011…
…1011000000000
32210202220010000
42121213120000
540302104222
63555040000
7666166146
oct231473000
983686100
1040269312
1120804a26
12115a0000
13845c2c5
1454c3596
1538069ac
hex2667600

40269312 has 100 divisors (see below), whose sum is σ = 120317076. Its totient is φ = 13409280.

The previous prime is 40269301. The next prime is 40269319. The reversal of 40269312 is 21396204.

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 (40269319) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 40987 + ... + 41957.

Almost surely, 240269312 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 40269312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60158538).

40269312 is an abundant number, since it is smaller than the sum of its proper divisors (80047764).

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

40269312 is an frugal number, since it uses more digits than its factorization.

40269312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 40269312 is about 6345.8105865208. The cubic root of 40269312 is about 342.7610016148.

The spelling of 40269312 in words is "forty million, two hundred sixty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 971 1152 1296 1536 1728 1942 2304 2592 2913 3456 3884 4608 5184 5826 6912 7768 8739 10368 11652 13824 15536 17478 20736 23304 26217 31072 34956 41472 46608 52434 62144 69912 78651 93216 104868 124288 139824 157302 186432 209736 248576 279648 314604 372864 419472 497152 559296 629208 745728 838944 1118592 1258416 1491456 1677888 2237184 2516832 3355776 4474368 5033664 6711552 10067328 13423104 20134656 40269312