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40052034 = 232111773163
BaseRepresentation
bin1001100011001…
…0010101000010
32210100212001200
42120302111002
540223131114
63550242030
7664302531
oct230622502
983325050
1040052034
1120676760
12114b6316
1383b4439
145468318
1537b2409
hex2632542

40052034 has 96 divisors (see below), whose sum is σ = 102233664. Its totient is φ = 11197440.

The previous prime is 40052029. The next prime is 40052041. The reversal of 40052034 is 43025004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 40051998 and 40052016.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245637 + ... + 245799.

It is an arithmetic number, because the mean of its divisors is an integer number (1064934).

Almost surely, 240052034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40052034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51116832).

40052034 is an abundant number, since it is smaller than the sum of its proper divisors (62181630).

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

40052034 is a wasteful number, since it uses less digits than its factorization.

40052034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 40052034 is about 6328.6676322904. The cubic root of 40052034 is about 342.1434198927.

Adding to 40052034 its reverse (43025004), we get a palindrome (83077038).

The spelling of 40052034 in words is "forty million, fifty-two thousand, thirty-four", and thus it is an eban number.

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 73 99 102 146 153 163 187 198 219 306 326 374 438 489 561 657 803 978 1122 1241 1314 1467 1606 1683 1793 2409 2482 2771 2934 3366 3586 3723 4818 5379 5542 7227 7446 8313 10758 11169 11899 13651 14454 16137 16626 22338 23798 24939 27302 30481 32274 35697 40953 49878 60962 71394 81906 91443 107091 122859 130889 182886 202283 214182 245718 261778 274329 392667 404566 548658 606849 785334 1178001 1213698 1820547 2225113 2356002 3641094 4450226 6675339 13350678 20026017 40052034