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40795392 = 283112439
BaseRepresentation
bin1001101110011…
…1110100000000
32211202121202110
42123213310000
540420423032
64014215320
71003520001
oct233476400
984677673
1040795392
1121034200
12117b4540
1385b48b1
1455bd1a8
1538ac7cc
hex26e7d00

40795392 has 108 divisors (see below), whose sum is σ = 119614880. Its totient is φ = 12334080.

The previous prime is 40795379. The next prime is 40795421. The reversal of 40795392 is 29359704.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 40795392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92709 + ... + 93147.

Almost surely, 240795392 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 40795392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59807440).

40795392 is an abundant number, since it is smaller than the sum of its proper divisors (78819488).

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

40795392 is a wasteful number, since it uses less digits than its factorization.

40795392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 455 counting only the distinct ones).

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

The square root of 40795392 is about 6387.1270536917. The cubic root of 40795392 is about 344.2471632762.

The spelling of 40795392 in words is "forty million, seven hundred ninety-five thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 439 484 528 704 726 768 878 968 1056 1317 1408 1452 1756 1936 2112 2634 2816 2904 3512 3872 4224 4829 5268 5808 7024 7744 8448 9658 10536 11616 14048 14487 15488 19316 21072 23232 28096 28974 30976 38632 42144 46464 53119 56192 57948 77264 84288 92928 106238 112384 115896 154528 159357 168576 212476 231792 309056 318714 337152 424952 463584 618112 637428 849904 927168 1236224 1274856 1699808 1854336 2549712 3399616 3708672 5099424 6799232 10198848 13598464 20397696 40795392