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400428200484 = 223313221938867
BaseRepresentation
bin1011101001110110110…
…00010111001000100100
31102021120112022012122000
411310323120113020210
523030034104403414
6503542034005300
740633661354634
oct5647330271044
91367515265560
10400428200484
111449033097a4
1265732716830
132b9b6274800
1415548dc86c4
15a6392ccb09
hex5d3b617224

400428200484 has 72 divisors (see below), whose sum is σ = 1124147596320. Its totient is φ = 123208671456.

The previous prime is 400428200479. The next prime is 400428200573. The reversal of 400428200484 is 484002824004.

400428200484 is a `hidden beast` number, since 400 + 4 + 2 + 8 + 200 + 48 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 10951182 + ... + 10987685.

It is an arithmetic number, because the mean of its divisors is an integer number (15613161060).

Almost surely, 2400428200484 is an apocalyptic number.

It is an amenable number.

400428200484 is an abundant number, since it is smaller than the sum of its proper divisors (723719395836).

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

400428200484 is a wasteful number, since it uses less digits than its factorization.

400428200484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21938906 (or 21938885 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 400428200484 in words is "four hundred billion, four hundred twenty-eight million, two hundred thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 169 234 338 351 468 507 676 702 1014 1404 1521 2028 3042 4563 6084 9126 18252 21938867 43877734 65816601 87755468 131633202 197449803 263266404 285205271 394899606 570410542 592349409 789799212 855615813 1140821084 1184698818 1711231626 2369397636 2566847439 3422463252 3707668523 5133694878 7415337046 7700542317 10267389756 11123005569 14830674092 15401084634 22246011138 30802169268 33369016707 44492022276 66738033414 100107050121 133476066828 200214100242 400428200484