Search a number
-
+
40228992 = 273247743
BaseRepresentation
bin1001100101110…
…1100010000000
32210200211210200
42121131202000
540244311432
63554125200
7665640456
oct231354200
983624720
1040228992
1120787701
1211580800
138446b4b
1454b29d6
1537e9a7c
hex265d880

40228992 has 96 divisors (see below), whose sum is σ = 118385280. Its totient is φ = 13106688.

The previous prime is 40228949. The next prime is 40228999. The reversal of 40228992 is 29982204.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (40228999) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53773 + ... + 54515.

It is an arithmetic number, because the mean of its divisors is an integer number (1233180).

Almost surely, 240228992 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 40228992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59192640).

40228992 is an abundant number, since it is smaller than the sum of its proper divisors (78156288).

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

40228992 is a wasteful number, since it uses less digits than its factorization.

40228992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 40228992 is about 6342.6328917887. The cubic root of 40228992 is about 342.6465659319.

The spelling of 40228992 in words is "forty million, two hundred twenty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 282 288 376 384 423 564 576 743 752 846 1128 1152 1486 1504 1692 2229 2256 2972 3008 3384 4458 4512 5944 6016 6687 6768 8916 9024 11888 13374 13536 17832 18048 23776 26748 27072 34921 35664 47552 53496 54144 69842 71328 95104 104763 106992 139684 142656 209526 213984 279368 285312 314289 419052 427968 558736 628578 838104 855936 1117472 1257156 1676208 2234944 2514312 3352416 4469888 5028624 6704832 10057248 13409664 20114496 40228992