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40960728 = 233463211
BaseRepresentation
bin1001110001000…
…0001011011000
32212002000120000
42130100023120
540441220403
64021533000
71005106014
oct234201330
985060500
1040960728
1121137446
1211874160
138641c23
145623544
1538e17a3
hex27102d8

40960728 has 40 divisors (see below), whose sum is σ = 114729780. Its totient is φ = 13653360.

The previous prime is 40960721. The next prime is 40960729. The reversal of 40960728 is 82706904.

40960728 is a `hidden beast` number, since 40 + 9 + 607 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40960692 and 40960701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40960721) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 30958 + ... + 32253.

Almost surely, 240960728 is an apocalyptic number.

It is an amenable number.

40960728 is an abundant number, since it is smaller than the sum of its proper divisors (73769052).

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

40960728 is a wasteful number, since it uses less digits than its factorization.

40960728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63229 (or 63216 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 40960728 is about 6400.0568747473. The cubic root of 40960728 is about 344.7115926176.

The spelling of 40960728 in words is "forty million, nine hundred sixty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 63211 126422 189633 252844 379266 505688 568899 758532 1137798 1517064 1706697 2275596 3413394 4551192 5120091 6826788 10240182 13653576 20480364 40960728