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40758640 = 2451339191
BaseRepresentation
bin1001101101111…
…0110101110000
32211200202100021
42123132311300
540413234030
64013333224
71003304566
oct233366560
984622307
1040758640
112100962a
1211797214
1385a0c50
1455ada36
1538a197a
hex26ded70

40758640 has 40 divisors (see below), whose sum is σ = 102055968. Its totient is φ = 15048960.

The previous prime is 40758637. The next prime is 40758647. The reversal of 40758640 is 4685704.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×407586402 = 3322533469299200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 40758596 and 40758605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40758647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18556 + ... + 20635.

Almost surely, 240758640 is an apocalyptic number.

40758640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40758640 is an abundant number, since it is smaller than the sum of its proper divisors (61297328).

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

40758640 is a wasteful number, since it uses less digits than its factorization.

40758640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39217 (or 39211 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 40758640 is about 6384.2493685632. The cubic root of 40758640 is about 344.1437563937.

The spelling of 40758640 in words is "forty million, seven hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 39191 78382 156764 195955 313528 391910 509483 627056 783820 1018966 1567640 2037932 2547415 3135280 4075864 5094830 8151728 10189660 20379320 40758640