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40248180 = 223257171879
BaseRepresentation
bin1001100110001…
…0001101110100
32210201211010100
42121202031310
540300420210
63554354100
7666050430
oct231421564
983654110
1040248180
11207a0065
121158b930
1384527bb
1454b99c0
1538005c0
hex2662374

40248180 has 144 divisors (see below), whose sum is σ = 147813120. Its totient is φ = 8653824.

The previous prime is 40248167. The next prime is 40248181. The reversal of 40248180 is 8184204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40248181) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20481 + ... + 22359.

It is an arithmetic number, because the mean of its divisors is an integer number (1026480).

Almost surely, 240248180 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 40248180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73906560).

40248180 is an abundant number, since it is smaller than the sum of its proper divisors (107564940).

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

40248180 is a wasteful number, since it uses less digits than its factorization.

40248180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 40248180 is about 6344.1453325093. The cubic root of 40248180 is about 342.7010345870.

The spelling of 40248180 in words is "forty million, two hundred forty-eight thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 1879 2142 2380 3060 3570 3758 4284 5355 5637 7140 7516 9395 10710 11274 13153 16911 18790 21420 22548 26306 28185 31943 33822 37580 39459 52612 56370 63886 65765 67644 78918 84555 95829 112740 118377 127772 131530 157836 159715 169110 191658 197295 223601 236754 263060 287487 319430 338220 383316 394590 447202 473508 479145 574974 591885 638860 670803 789180 894404 958290 1118005 1149948 1183770 1341606 1437435 1916580 2012409 2236010 2367540 2683212 2874870 3354015 4024818 4472020 5749740 6708030 8049636 10062045 13416060 20124090 40248180