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40788016 = 242326179
BaseRepresentation
bin1001101110011…
…0000000110000
32211202020122021
42123212000300
540420204031
64014121224
71003456333
oct233460060
984666567
1040788016
1121029705
12117b0214
1385b1429
1455ba61a
1538aa511
hex26e6030

40788016 has 60 divisors (see below), whose sum is σ = 85029280. Its totient is φ = 18944640.

The previous prime is 40788001. The next prime is 40788017. The reversal of 40788016 is 61088704.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40788017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 516265 + ... + 516343.

Almost surely, 240788016 is an apocalyptic number.

40788016 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40788016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42514640).

40788016 is an abundant number, since it is smaller than the sum of its proper divisors (44241264).

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

40788016 is a wasteful number, since it uses less digits than its factorization.

40788016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 40788016 is about 6386.5496161856. The cubic root of 40788016 is about 344.2264148534.

The spelling of 40788016 in words is "forty million, seven hundred eighty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 23 46 61 79 92 122 158 184 244 316 368 488 529 632 976 1058 1264 1403 1817 2116 2806 3634 4232 4819 5612 7268 8464 9638 11224 14536 19276 22448 29072 32269 38552 41791 64538 77104 83582 110837 129076 167164 221674 258152 334328 443348 516304 668656 886696 1773392 2549251 5098502 10197004 20394008 40788016