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40620744 = 23331811039
BaseRepresentation
bin1001101011110…
…1001011001000
32211102202012000
42122331023020
540344330434
64010351000
71002161553
oct232751310
984382160
1040620744
1120a24a6a
121172b460
138553258
14557569a
153875b99
hex26bd2c8

40620744 has 64 divisors (see below), whose sum is σ = 113568000. Its totient is φ = 13452480.

The previous prime is 40620739. The next prime is 40620751. The reversal of 40620744 is 44702604.

40620744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×406207442 = 3300089686227072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 38577 + ... + 39615.

It is an arithmetic number, because the mean of its divisors is an integer number (1774500).

Almost surely, 240620744 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 40620744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56784000).

40620744 is an abundant number, since it is smaller than the sum of its proper divisors (72947256).

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

40620744 is a wasteful number, since it uses less digits than its factorization.

40620744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 40620744 is about 6373.4405151378. The cubic root of 40620744 is about 343.7552116455.

The spelling of 40620744 in words is "forty million, six hundred twenty thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 181 216 362 543 724 1039 1086 1448 1629 2078 2172 3117 3258 4156 4344 4887 6234 6516 8312 9351 9774 12468 13032 18702 19548 24936 28053 37404 39096 56106 74808 112212 188059 224424 376118 564177 752236 1128354 1504472 1692531 2256708 3385062 4513416 5077593 6770124 10155186 13540248 20310372 40620744