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40499440 = 2451797307
BaseRepresentation
bin1001101001111…
…1100011110000
32211012120210021
42122133203300
540331440230
64004013224
71001145112
oct232374360
984176707
1040499440
1120951913
1211691214
13850cc87
1455433b2
15384ec7a
hex269f8f0

40499440 has 80 divisors (see below), whose sum is σ = 101056032. Its totient is φ = 15040512.

The previous prime is 40499419. The next prime is 40499441. The reversal of 40499440 is 4499404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 40499396 and 40499405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40499441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131767 + ... + 132073.

Almost surely, 240499440 is an apocalyptic number.

40499440 is a gapful number since it is divisible by the number (40) 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 40499440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50528016).

40499440 is an abundant number, since it is smaller than the sum of its proper divisors (60556592).

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

40499440 is a wasteful number, since it uses less digits than its factorization.

40499440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 40499440 is about 6363.9170327716. The cubic root of 40499440 is about 343.4126899439.

The spelling of 40499440 in words is "forty million, four hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 97 136 170 194 272 307 340 388 485 614 680 776 970 1228 1360 1535 1552 1649 1940 2456 3070 3298 3880 4912 5219 6140 6596 7760 8245 10438 12280 13192 16490 20876 24560 26095 26384 29779 32980 41752 52190 59558 65960 83504 104380 119116 131920 148895 208760 238232 297790 417520 476464 506243 595580 1012486 1191160 2024972 2382320 2531215 4049944 5062430 8099888 10124860 20249720 40499440