Search a number
-
+
45741740 = 225111931353
BaseRepresentation
bin1010111001111…
…1011010101100
310012001220212112
42232133122230
543202213430
64312223152
71063540562
oct256373254
9105056775
1045741740
11239024a0
121339aab8
139627125
146109a32
154038195
hex2b9f6ac

45741740 has 96 divisors (see below), whose sum is σ = 114186240. Its totient is φ = 15206400.

The previous prime is 45741677. The next prime is 45741767. The reversal of 45741740 is 4714754.

It is a junction number, because it is equal to n+sod(n) for n = 45741697 and 45741706.

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, 129404 + ... + 129756.

It is an arithmetic number, because the mean of its divisors is an integer number (1189440).

Almost surely, 245741740 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 45741740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57093120).

45741740 is an abundant number, since it is smaller than the sum of its proper divisors (68444500).

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

45741740 is a wasteful number, since it uses less digits than its factorization.

45741740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 45741740 is about 6763.2640049018. The cubic root of 45741740 is about 357.6329790397.

The spelling of 45741740 in words is "forty-five million, seven hundred forty-one thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 31 38 44 55 62 76 95 110 124 155 190 209 220 310 341 353 380 418 589 620 682 706 836 1045 1178 1364 1412 1705 1765 2090 2356 2945 3410 3530 3883 4180 5890 6479 6707 6820 7060 7766 10943 11780 12958 13414 15532 19415 21886 25916 26828 32395 33535 38830 43772 54715 64790 67070 73777 77660 109430 120373 129580 134140 147554 207917 218860 240746 295108 368885 415834 481492 601865 737770 831668 1039585 1203730 1475540 2079170 2287087 2407460 4158340 4574174 9148348 11435435 22870870 45741740