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45776940 = 223511431613
BaseRepresentation
bin1010111010100…
…0000000101100
310012010201011020
42232220000230
543204330230
64313054140
71064045316
oct256500054
9105121136
1045776940
1123926990
12133b7350
13963a161
1461187b6
154043810
hex2ba802c

45776940 has 96 divisors (see below), whose sum is σ = 143168256. Its totient is φ = 10832640.

The previous prime is 45776911. The next prime is 45776953. The reversal of 45776940 is 4967754.

It is a junction number, because it is equal to n+sod(n) for n = 45776892 and 45776901.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27574 + ... + 29186.

It is an arithmetic number, because the mean of its divisors is an integer number (1491336).

Almost surely, 245776940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45776940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71584128).

45776940 is an abundant number, since it is smaller than the sum of its proper divisors (97391316).

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

45776940 is a wasteful number, since it uses less digits than its factorization.

45776940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1679 (or 1677 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 45776940 is about 6765.8657982552. The cubic root of 45776940 is about 357.7246928886.

The spelling of 45776940 in words is "forty-five million, seven hundred seventy-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 43 44 55 60 66 86 110 129 132 165 172 215 220 258 330 430 473 516 645 660 860 946 1290 1419 1613 1892 2365 2580 2838 3226 4730 4839 5676 6452 7095 8065 9460 9678 14190 16130 17743 19356 24195 28380 32260 35486 48390 53229 69359 70972 88715 96780 106458 138718 177430 208077 212916 266145 277436 346795 354860 416154 532290 693590 762949 832308 1040385 1064580 1387180 1525898 2080770 2288847 3051796 3814745 4161540 4577694 7629490 9155388 11444235 15258980 22888470 45776940