Search a number
-
+
40067088 = 2438389113
BaseRepresentation
bin1001100011011…
…0000000010000
32210101121201020
42120312000100
540224121323
63550435440
7664364445
oct230660020
983347636
1040067088
1120686aa6
1211502b80
1383bb249
14546d9cc
1537b6ae3
hex2636010

40067088 has 80 divisors (see below), whose sum is σ = 106868160. Its totient is φ = 12931072.

The previous prime is 40067087. The next prime is 40067107. The reversal of 40067088 is 88076004.

It is a super-4 number, since 4×400670884 (a number of 32 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (40067087) 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, 354520 + ... + 354632.

It is an arithmetic number, because the mean of its divisors is an integer number (1335852).

Almost surely, 240067088 is an apocalyptic number.

40067088 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 40067088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53434080).

40067088 is an abundant number, since it is smaller than the sum of its proper divisors (66801072).

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

40067088 is a wasteful number, since it uses less digits than its factorization.

40067088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 40067088 is about 6329.8568704197. The cubic root of 40067088 is about 342.1862806529.

The spelling of 40067088 in words is "forty million, sixty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 89 113 166 178 226 249 267 332 339 356 452 498 534 664 678 712 904 996 1068 1328 1356 1424 1808 1992 2136 2712 3984 4272 5424 7387 9379 10057 14774 18758 20114 22161 28137 29548 30171 37516 40228 44322 56274 59096 60342 75032 80456 88644 112548 118192 120684 150064 160912 177288 225096 241368 354576 450192 482736 834731 1669462 2504193 3338924 5008386 6677848 10016772 13355696 20033544 40067088