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40771950 = 23521759271
BaseRepresentation
bin1001101110001…
…0000101101110
32211201102121020
42123202011232
540414200300
64013515010
71003361442
oct233420556
984642536
1040771950
112101862a
12117a2a66
1385a701b
1455b4822
1538a58a0
hex26e216e

40771950 has 96 divisors (see below), whose sum is σ = 109278720. Its totient is φ = 10022400.

The previous prime is 40771949. The next prime is 40771957. The reversal of 40771950 is 5917704.

40771950 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-3 number, since 3×407719503 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40771957) 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 47 ways as a sum of consecutive naturals, for example, 150315 + ... + 150585.

It is an arithmetic number, because the mean of its divisors is an integer number (1138320).

Almost surely, 240771950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40771950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54639360).

40771950 is an abundant number, since it is smaller than the sum of its proper divisors (68506770).

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

40771950 is a wasteful number, since it uses less digits than its factorization.

40771950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 40771950 is about 6385.2916926324. The cubic root of 40771950 is about 344.1812131136.

The spelling of 40771950 in words is "forty million, seven hundred seventy-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 17 25 30 34 50 51 59 75 85 102 118 150 170 177 255 271 295 354 425 510 542 590 813 850 885 1003 1275 1355 1475 1626 1770 2006 2550 2710 2950 3009 4065 4425 4607 5015 6018 6775 8130 8850 9214 10030 13550 13821 15045 15989 20325 23035 25075 27642 30090 31978 40650 46070 47967 50150 69105 75225 79945 95934 115175 138210 150450 159890 230350 239835 271813 345525 399725 479670 543626 691050 799450 815439 1199175 1359065 1630878 2398350 2718130 4077195 6795325 8154390 13590650 20385975 40771950