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40378688 = 267193467
BaseRepresentation
bin1001101000001…
…0000101000000
32210222110010222
42122002011000
540314104223
64001242212
71000133060
oct232020500
983873128
1040378688
112087a119
1211633368
13849a01c
1455113a0
1538290c8
hex2682140

40378688 has 56 divisors (see below), whose sum is σ = 92244672. Its totient is φ = 17178624.

The previous prime is 40378669. The next prime is 40378703. The reversal of 40378688 is 88687304.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86231 + ... + 86697.

Almost surely, 240378688 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 40378688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46122336).

40378688 is an abundant number, since it is smaller than the sum of its proper divisors (51865984).

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

40378688 is a wasteful number, since it uses less digits than its factorization.

40378688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The square root of 40378688 is about 6354.4227117811. The cubic root of 40378688 is about 343.0710469436.

The spelling of 40378688 in words is "forty million, three hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 193 224 386 448 467 772 934 1351 1544 1868 2702 3088 3269 3736 5404 6176 6538 7472 10808 12352 13076 14944 21616 26152 29888 43232 52304 86464 90131 104608 180262 209216 360524 630917 721048 1261834 1442096 2523668 2884192 5047336 5768384 10094672 20189344 40378688