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400541544 = 233313672129
BaseRepresentation
bin10111110111111…
…100011101101000
31000220200121201000
4113313330131220
51310014312134
6103424555000
712632355414
oct2767743550
91026617630
10400541544
11196105877
12b2182a60
1364ca0c40
143b2a5d44
152526de99
hex17dfc768

400541544 has 128 divisors (see below), whose sum is σ = 1216656000. Its totient is φ = 121347072.

The previous prime is 400541521. The next prime is 400541621. The reversal of 400541544 is 445145004.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187072 + ... + 189200.

It is an arithmetic number, because the mean of its divisors is an integer number (9505125).

Almost surely, 2400541544 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 400541544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (608328000).

400541544 is an abundant number, since it is smaller than the sum of its proper divisors (816114456).

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

400541544 is a wasteful number, since it uses less digits than its factorization.

400541544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2224 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 400541544 is about 20013.5340207571. The cubic root of 400541544 is about 737.1386606421.

Adding to 400541544 its reverse (445145004), we get a palindrome (845686548).

The spelling of 400541544 in words is "four hundred million, five hundred forty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 67 72 78 104 108 117 134 156 201 216 234 268 312 351 402 468 536 603 702 804 871 936 1206 1404 1608 1742 1809 2129 2412 2613 2808 3484 3618 4258 4824 5226 6387 6968 7236 7839 8516 10452 12774 14472 15678 17032 19161 20904 23517 25548 27677 31356 38322 47034 51096 55354 57483 62712 76644 83031 94068 110708 114966 142643 153288 166062 188136 221416 229932 249093 285286 332124 427929 459864 498186 570572 664248 747279 855858 996372 1141144 1283787 1494558 1711716 1854359 1992744 2567574 2989116 3423432 3708718 3851361 5135148 5563077 5978232 7417436 7702722 10270296 11126154 14834872 15405444 16689231 22252308 30810888 33378462 44504616 50067693 66756924 100135386 133513848 200270772 400541544