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45910040 = 23511151691
BaseRepresentation
bin1010111100100…
…0100000011000
310012101110201212
42233020200120
543223110130
64320002252
71065141341
oct257104030
9105343655
1045910040
1123a07990
1213460388
139685907
1461510c8
15406ce95
hex2bc8818

45910040 has 64 divisors (see below), whose sum is σ = 113598720. Its totient is φ = 16560000.

The previous prime is 45910019. The next prime is 45910043. The reversal of 45910040 is 4001954.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 45909988 and 45910015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45910043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66095 + ... + 66785.

It is an arithmetic number, because the mean of its divisors is an integer number (1774980).

Almost surely, 245910040 is an apocalyptic number.

45910040 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 45910040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56799360).

45910040 is an abundant number, since it is smaller than the sum of its proper divisors (67688680).

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

45910040 is a wasteful number, since it uses less digits than its factorization.

45910040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 45910040 is about 6775.6947983214. The cubic root of 45910040 is about 358.0710614947.

Adding to 45910040 its reverse (4001954), we get a palindrome (49911994).

The spelling of 45910040 in words is "forty-five million, nine hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 151 220 302 440 604 691 755 1208 1382 1510 1661 2764 3020 3322 3455 5528 6040 6644 6910 7601 8305 13288 13820 15202 16610 27640 30404 33220 38005 60808 66440 76010 104341 152020 208682 304040 417364 521705 834728 1043410 1147751 2086820 2295502 4173640 4591004 5738755 9182008 11477510 22955020 45910040