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40455104 = 2617192103
BaseRepresentation
bin1001101001010…
…0101111000000
32211010022222012
42122110233000
540324030404
64003032052
71000601624
oct232245700
984108865
1040455104
1120921578
121166b628
1384c5a41
145531184
153841a6e
hex2694bc0

40455104 has 84 divisors (see below), whose sum is σ = 90580464. Its totient is φ = 17860608.

The previous prime is 40455101. The next prime is 40455119. The reversal of 40455104 is 40155404.

It is a self number, because there is not a number n which added to its sum of digits gives 40455104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40455101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392717 + ... + 392819.

Almost surely, 240455104 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 40455104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45290232).

40455104 is an abundant number, since it is smaller than the sum of its proper divisors (50125360).

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

40455104 is a wasteful number, since it uses less digits than its factorization.

40455104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 40455104 is about 6360.4326896839. The cubic root of 40455104 is about 343.2873293269.

The spelling of 40455104 in words is "forty million, four hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 103 136 152 206 272 304 323 361 412 544 608 646 722 824 1088 1216 1292 1444 1648 1751 1957 2584 2888 3296 3502 3914 5168 5776 6137 6592 7004 7828 10336 11552 12274 14008 15656 20672 23104 24548 28016 31312 33269 37183 49096 56032 62624 66538 74366 98192 112064 125248 133076 148732 196384 266152 297464 392768 532304 594928 632111 1064608 1189856 1264222 2129216 2379712 2528444 5056888 10113776 20227552 40455104