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402044240 = 245132131227
BaseRepresentation
bin10111111101101…
…011010101010000
31001000111222000102
4113331223111100
51310410403430
6103521111532
712651214433
oct2775532520
91030458012
10402044240
11196a41874
12b27885a8
13653a8c00
143b57781a
1525469345
hex17f6b550

402044240 has 120 divisors (see below), whose sum is σ = 1024407648. Its totient is φ = 146664960.

The previous prime is 402044219. The next prime is 402044243. The reversal of 402044240 is 42440204.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402044243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1771007 + ... + 1771233.

Almost surely, 2402044240 is an apocalyptic number.

402044240 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 402044240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512203824).

402044240 is an abundant number, since it is smaller than the sum of its proper divisors (622363408).

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

402044240 is a wasteful number, since it uses less digits than its factorization.

402044240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 402044240 is about 20051.0408707379. The cubic root of 402044240 is about 738.0593416393.

Adding to 402044240 its reverse (42440204), we get a palindrome (444484444).

It can be divided in two parts, 40204 and 4240, that added together give a palindrome (44444).

The spelling of 402044240 in words is "four hundred two million, forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 131 169 208 227 260 262 338 454 520 524 655 676 845 908 1040 1048 1135 1310 1352 1690 1703 1816 2096 2270 2620 2704 2951 3380 3406 3632 4540 5240 5902 6760 6812 8515 9080 10480 11804 13520 13624 14755 17030 18160 22139 23608 27248 29510 29737 34060 38363 44278 47216 59020 59474 68120 76726 88556 110695 118040 118948 136240 148685 153452 177112 191815 221390 236080 237896 297370 306904 354224 383630 386581 442780 475792 594740 613808 767260 773162 885560 1189480 1534520 1546324 1771120 1932905 2378960 3069040 3092648 3865810 5025553 6185296 7731620 10051106 15463240 20102212 25127765 30926480 40204424 50255530 80408848 100511060 201022120 402044240