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40194480 = 2435373449
BaseRepresentation
bin1001100101010…
…1000110110000
32210122002110110
42121111012300
540242210410
63553301320
7665435034
oct231250660
983562413
1040194480
1120763787
1211564840
138434221
1454a41c4
1537de720
hex26551b0

40194480 has 80 divisors (see below), whose sum is σ = 125215200. Its totient is φ = 10665984.

The previous prime is 40194461. The next prime is 40194487. The reversal of 40194480 is 8449104.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40194487) 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, 89296 + ... + 89744.

It is an arithmetic number, because the mean of its divisors is an integer number (1565190).

Almost surely, 240194480 is an apocalyptic number.

40194480 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 40194480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62607600).

40194480 is an abundant number, since it is smaller than the sum of its proper divisors (85020720).

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

40194480 is a wasteful number, since it uses less digits than its factorization.

40194480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 40194480 is about 6339.9116713090. The cubic root of 40194480 is about 342.5485536863.

The spelling of 40194480 in words is "forty million, one hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 373 449 746 898 1119 1347 1492 1796 1865 2238 2245 2694 2984 3592 3730 4476 4490 5388 5595 5968 6735 7184 7460 8952 8980 10776 11190 13470 14920 17904 17960 21552 22380 26940 29840 35920 44760 53880 89520 107760 167477 334954 502431 669908 837385 1004862 1339816 1674770 2009724 2512155 2679632 3349540 4019448 5024310 6699080 8038896 10048620 13398160 20097240 40194480