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40461440 = 275191331
BaseRepresentation
bin1001101001011…
…0010010000000
32211010122122212
42122112102000
540324231230
64003121252
71000626245
oct232262200
984118585
1040461440
1120926308
1211673228
1384c88a6
1455335cc
153843895
hex2696480

40461440 has 64 divisors (see below), whose sum is σ = 97528320. Its totient is φ = 16051200.

The previous prime is 40461427. The next prime is 40461457. The reversal of 40461440 is 4416404.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122075 + ... + 122405.

It is an arithmetic number, because the mean of its divisors is an integer number (1523880).

Almost surely, 240461440 is an apocalyptic number.

40461440 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 40461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48764160).

40461440 is an abundant number, since it is smaller than the sum of its proper divisors (57066880).

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

40461440 is a wasteful number, since it uses less digits than its factorization.

40461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

The square root of 40461440 is about 6360.9307495051. The cubic root of 40461440 is about 343.3052500568.

Adding to 40461440 its reverse (4416404), we get a palindrome (44877844).

The spelling of 40461440 in words is "forty million, four hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 191 320 331 382 640 662 764 955 1324 1528 1655 1910 2648 3056 3310 3820 5296 6112 6620 7640 10592 12224 13240 15280 21184 24448 26480 30560 42368 52960 61120 63221 105920 122240 126442 211840 252884 316105 505768 632210 1011536 1264420 2023072 2528840 4046144 5057680 8092288 10115360 20230720 40461440