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40798560 = 2535117727
BaseRepresentation
bin1001101110100…
…0100101100000
32211202210002210
42123220211200
540421023220
64014242120
71003532145
oct233504540
984683083
1040798560
1121036620
12117b6340
1385b617a
1455c03cc
1538ad6e0
hex26e8960

40798560 has 96 divisors (see below), whose sum is σ = 140216832. Its totient is φ = 9889280.

The previous prime is 40798553. The next prime is 40798561. The reversal of 40798560 is 6589704.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40798561) 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 15 ways as a sum of consecutive naturals, for example, 1417 + ... + 9143.

It is an arithmetic number, because the mean of its divisors is an integer number (1460592).

Almost surely, 240798560 is an apocalyptic number.

40798560 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 40798560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70108416).

40798560 is an abundant number, since it is smaller than the sum of its proper divisors (99418272).

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

40798560 is a wasteful number, since it uses less digits than its factorization.

40798560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7756 (or 7748 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 40798560 is about 6387.3750477015. The cubic root of 40798560 is about 344.2560739785.

Subtracting from 40798560 its reverse (6589704), we obtain a triangular number (34208856 = T8271).

The spelling of 40798560 in words is "forty million, seven hundred ninety-eight thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 7727 15454 23181 30908 38635 46362 61816 77270 84997 92724 115905 123632 154540 169994 185448 231810 247264 254991 309080 339988 370896 424985 463620 509982 618160 679976 741792 849970 927240 1019964 1236320 1274955 1359952 1699940 1854480 2039928 2549910 2719904 3399880 3708960 4079856 5099820 6799760 8159712 10199640 13599520 20399280 40798560