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40774840 = 2351761983
BaseRepresentation
bin1001101110001…
…0110010111000
32211201120120021
42123202302320
540414243330
64013540224
71003403041
oct233426270
984646507
1040774840
112101a817
12117a4674
1385a8432
1455b58c8
1538a667a
hex26e2cb8

40774840 has 64 divisors (see below), whose sum is σ = 98832960. Its totient is φ = 15083520.

The previous prime is 40774831. The next prime is 40774843. The reversal of 40774840 is 4847704.

40774840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 40774796 and 40774805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40774843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40989 + ... + 41971.

It is an arithmetic number, because the mean of its divisors is an integer number (1544265).

Almost surely, 240774840 is an apocalyptic number.

40774840 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 40774840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49416480).

40774840 is an abundant number, since it is smaller than the sum of its proper divisors (58058120).

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

40774840 is a wasteful number, since it uses less digits than its factorization.

40774840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 40774840 is about 6385.5179899520. The cubic root of 40774840 is about 344.1893450132.

It can be divided in two parts, 40774 and 840, that added together give a palindrome (41614).

The spelling of 40774840 in words is "forty million, seven hundred seventy-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 680 983 1037 1220 1966 2074 2440 3932 4148 4915 5185 7864 8296 9830 10370 16711 19660 20740 33422 39320 41480 59963 66844 83555 119926 133688 167110 239852 299815 334220 479704 599630 668440 1019371 1199260 2038742 2398520 4077484 5096855 8154968 10193710 20387420 40774840