Search a number
-
+
401357544 = 233723241431
BaseRepresentation
bin10111111011000…
…011101011101000
31000222020002001020
4113323003223220
51310221420134
6103454252440
712642324420
oct2773035350
91028202036
10401357544
11196612955
12b24b7120
13651c8493
143b439480
1525380b49
hex17ec3ae8

401357544 has 128 divisors (see below), whose sum is σ = 1204346880. Its totient is φ = 108979200.

The previous prime is 401357543. The next prime is 401357563. The reversal of 401357544 is 445753104.

It is a super-3 number, since 3×4013575443 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (401357543) 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 31 ways as a sum of consecutive naturals, for example, 931009 + ... + 931439.

It is an arithmetic number, because the mean of its divisors is an integer number (9408960).

Almost surely, 2401357544 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 401357544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602173440).

401357544 is an abundant number, since it is smaller than the sum of its proper divisors (802989336).

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

401357544 is a wasteful number, since it uses less digits than its factorization.

401357544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 401357544 is about 20033.9098530467. The cubic root of 401357544 is about 737.6388976731.

The spelling of 401357544 in words is "four hundred one million, three hundred fifty-seven thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 241 276 322 431 482 483 552 644 723 862 964 966 1288 1293 1446 1687 1724 1928 1932 2586 2892 3017 3374 3448 3864 5061 5172 5543 5784 6034 6748 9051 9913 10122 10344 11086 12068 13496 16629 18102 19826 20244 22172 24136 29739 33258 36204 38801 39652 40488 44344 59478 66516 69391 72408 77602 79304 103871 116403 118956 133032 138782 155204 207742 208173 232806 237912 277564 310408 311613 415484 416346 465612 555128 623226 727097 830968 832692 931224 1246452 1454194 1665384 2181291 2389033 2492904 2908388 4362582 4778066 5816776 7167099 8725164 9556132 14334198 16723231 17450328 19112264 28668396 33446462 50169693 57336792 66892924 100339386 133785848 200678772 401357544