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400003667028 = 223276918532693
BaseRepresentation
bin1011101001000100001…
…00111001010001010100
31102020110221110200012200
411310202010321101110
523023201414321103
6503431550444500
740620315033030
oct5644204712124
91366427420180
10400003667028
111447057074a9
1265634503730
132b949323494
14155088791c0
15a611dc00a3
hex5d22139454

400003667028 has 144 divisors (see below), whose sum is σ = 1159025352576. Its totient is φ = 113945253120.

The previous prime is 400003667027. The next prime is 400003667033. The reversal of 400003667028 is 820766300004.

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

It is a junction number, because it is equal to n+sod(n) for n = 400003666983 and 400003667001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400003667027) 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, 148533250 + ... + 148535942.

Almost surely, 2400003667028 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 400003667028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579512676288).

400003667028 is an abundant number, since it is smaller than the sum of its proper divisors (759021685548).

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

400003667028 is a wasteful number, since it uses less digits than its factorization.

400003667028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4254 (or 4249 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 400003667028 in words is "four hundred billion, three million, six hundred sixty-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 691 853 1382 1706 2073 2559 2693 2764 3412 4146 4837 5118 5386 5971 6219 7677 8079 8292 9674 10236 10772 11942 12438 14511 15354 16158 17913 18851 19348 23884 24237 24876 29022 30708 32316 35826 37702 43533 48474 53739 56553 58044 71652 75404 87066 96948 107478 113106 169659 174132 214956 226212 339318 589423 678636 1178846 1768269 1860863 2297129 2357692 3536538 3721726 4125961 4594258 5304807 5582589 6891387 7073076 7443452 8251922 9188516 10609614 11165178 12377883 13026041 13782774 16079903 16503844 16747767 20674161 21219228 22330356 24755766 26052082 27565548 32159806 33495534 37133649 39078123 41348322 48239709 49511532 52104164 64319612 66991068 74267298 78156246 82696644 96479418 117234369 144719127 148534596 156312492 192958836 234468738 289438254 468937476 578876508 1587316139 3174632278 4761948417 6349264556 9523896834 11111212973 14285845251 19047793668 22222425946 28571690502 33333638919 44444851892 57143381004 66667277838 100000916757 133334555676 200001833514 400003667028