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40739952 = 243111931131
BaseRepresentation
bin1001101101101…
…0010001110000
32211122210201010
42123122101300
540412134302
64013110520
71003166241
oct233322160
984583633
1040739952
1120aa6590
1211788440
1385955a6
1455a6cc8
15389b16c
hex26da470

40739952 has 160 divisors (see below), whose sum is σ = 125706240. Its totient is φ = 11232000.

The previous prime is 40739911. The next prime is 40739957. The reversal of 40739952 is 25993704.

It is a self number, because there is not a number n which added to its sum of digits gives 40739952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40739957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310927 + ... + 311057.

It is an arithmetic number, because the mean of its divisors is an integer number (785664).

Almost surely, 240739952 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 40739952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62853120).

40739952 is an abundant number, since it is smaller than the sum of its proper divisors (84966288).

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

40739952 is a wasteful number, since it uses less digits than its factorization.

40739952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 40739952 is about 6382.7855987805. The cubic root of 40739952 is about 344.0911512552.

The spelling of 40739952 in words is "forty million, seven hundred thirty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 31 33 38 44 48 57 62 66 76 88 93 114 124 131 132 152 176 186 209 228 248 262 264 304 341 372 393 418 456 496 524 528 589 627 682 744 786 836 912 1023 1048 1178 1254 1364 1441 1488 1572 1672 1767 2046 2096 2356 2489 2508 2728 2882 3144 3344 3534 4061 4092 4323 4712 4978 5016 5456 5764 6288 6479 7068 7467 8122 8184 8646 9424 9956 10032 11528 12183 12958 14136 14934 16244 16368 17292 19437 19912 23056 24366 25916 27379 28272 29868 32488 34584 38874 39824 44671 48732 51832 54758 59736 64976 69168 77159 77748 82137 89342 97464 103664 109516 119472 134013 154318 155496 164274 178684 194928 219032 231477 268026 308636 310992 328548 357368 438064 462954 536052 617272 657096 714736 848749 925908 1072104 1234544 1314192 1697498 1851816 2144208 2546247 3394996 3703632 5092494 6789992 10184988 13579984 20369976 40739952