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40969152 = 263471129
BaseRepresentation
bin1001110001001…
…0001111000000
32212002110010000
42130102033000
540442003102
64022040000
71005142410
oct234221700
985073100
1040969152
1121142804
1211879000
138645a03
145626640
1538e401c
hex27123c0

40969152 has 140 divisors (see below), whose sum is σ = 138917680. Its totient is φ = 11695104.

The previous prime is 40969151. The next prime is 40969171. The reversal of 40969152 is 25196904.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40969151) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 35724 + ... + 36852.

Almost surely, 240969152 is an apocalyptic number.

40969152 is a gapful number since it is divisible by the number (42) 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 40969152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69458840).

40969152 is an abundant number, since it is smaller than the sum of its proper divisors (97948528).

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

40969152 is a wasteful number, since it uses less digits than its factorization.

40969152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 40969152 is about 6400.7149600650. The cubic root of 40969152 is about 344.7352221732.

The spelling of 40969152 in words is "forty million, nine hundred sixty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1129 1134 1296 1344 1512 1728 2016 2258 2268 2592 3024 3387 4032 4516 4536 5184 6048 6774 7903 9032 9072 10161 12096 13548 15806 18064 18144 20322 23709 27096 30483 31612 36128 36288 40644 47418 54192 60966 63224 71127 72256 81288 91449 94836 108384 121932 126448 142254 162576 182898 189672 213381 216768 243864 252896 284508 325152 365796 379344 426762 487728 505792 569016 640143 650304 731592 758688 853524 975456 1138032 1280286 1463184 1517376 1707048 1950912 2276064 2560572 2926368 3414096 4552128 5121144 5852736 6828192 10242288 13656384 20484576 40969152