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40263040 = 275531187
BaseRepresentation
bin1001100110010…
…1110110000000
32210202120111201
42121211312000
540301404130
63554550544
7666141646
oct231456600
983676451
1040263040
1120800244
1211598454
1384594ac
1454c1196
153804bca
hex2665d80

40263040 has 64 divisors (see below), whose sum is σ = 98152560. Its totient is φ = 15788032.

The previous prime is 40263031. The next prime is 40263053. The reversal of 40263040 is 4036204.

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

It is a super-2 number, since 2×402630402 = 3242224780083200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40262999 and 40263017.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 33327 + ... + 34513.

Almost surely, 240263040 is an apocalyptic number.

40263040 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 40263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49076280).

40263040 is an abundant number, since it is smaller than the sum of its proper divisors (57889520).

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

40263040 is a wasteful number, since it uses less digits than its factorization.

40263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1259 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 40263040 is about 6345.3163829710. The cubic root of 40263040 is about 342.7432055271.

Adding to 40263040 its reverse (4036204), we get a palindrome (44299244).

The spelling of 40263040 in words is "forty million, two hundred sixty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 265 320 424 530 640 848 1060 1187 1696 2120 2374 3392 4240 4748 5935 6784 8480 9496 11870 16960 18992 23740 33920 37984 47480 62911 75968 94960 125822 151936 189920 251644 314555 379840 503288 629110 759680 1006576 1258220 2013152 2516440 4026304 5032880 8052608 10065760 20131520 40263040