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40293072 = 2433194909
BaseRepresentation
bin1001100110110…
…1001011010000
32210211002201000
42121231023100
540303334242
63555342000
7666325341
oct231551320
983732630
1040293072
1120820866
12115b1900
13846a071
1454cc0c8
15380da4c
hex266d2d0

40293072 has 80 divisors (see below), whose sum is σ = 121768000. Its totient is φ = 12721536.

The previous prime is 40293061. The next prime is 40293073. The reversal of 40293072 is 27039204.

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 (40293073) 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, 5754 + ... + 10662.

It is an arithmetic number, because the mean of its divisors is an integer number (1522100).

Almost surely, 240293072 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 40293072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60884000).

40293072 is an abundant number, since it is smaller than the sum of its proper divisors (81474928).

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

40293072 is a wasteful number, since it uses less digits than its factorization.

40293072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4945 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 40293072 is about 6347.6824117153. The cubic root of 40293072 is about 342.8284011621.

The spelling of 40293072 in words is "forty million, two hundred ninety-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 4909 8208 9818 14727 19636 29454 39272 44181 58908 78544 88362 93271 117816 132543 176724 186542 235632 265086 279813 353448 373084 530172 559626 706896 746168 839439 1060344 1119252 1492336 1678878 2120688 2238504 2518317 3357756 4477008 5036634 6715512 10073268 13431024 20146536 40293072