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400105552 = 2471141892
BaseRepresentation
bin10111110110010…
…010000001010000
31000212212110122011
4113312102001100
51304411334202
6103411352304
712625561330
oct2766220120
91025773564
10400105552
11195938250
12b1bb2694
1364b7a662
143b1d10c0
15251d4bd7
hex17d92050

400105552 has 120 divisors (see below), whose sum is σ = 1001310912. Its totient is φ = 150374400.

The previous prime is 400105513. The next prime is 400105579. The reversal of 400105552 is 255501004.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4495524 + ... + 4495612.

Almost surely, 2400105552 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 400105552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500655456).

400105552 is an abundant number, since it is smaller than the sum of its proper divisors (601205360).

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

400105552 is a wasteful number, since it uses less digits than its factorization.

400105552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The square root of 400105552 is about 20002.6386259413. The cubic root of 400105552 is about 736.8711035104.

Adding to 400105552 its reverse (255501004), we get a palindrome (655606556).

The spelling of 400105552 in words is "four hundred million, one hundred five thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 41 44 56 77 82 88 89 112 154 164 176 178 287 308 328 356 451 574 616 623 656 712 902 979 1148 1232 1246 1424 1804 1958 2296 2492 3157 3608 3649 3916 4592 4984 6314 6853 7216 7298 7832 7921 9968 12628 13706 14596 15664 15842 25256 25543 27412 29192 31684 40139 50512 51086 54824 55447 58384 63368 80278 87131 102172 109648 110894 126736 160556 174262 204344 221788 280973 321112 324761 348524 408688 443576 561946 609917 642224 649522 697048 887152 1123892 1219834 1299044 1394096 2247784 2273327 2439668 2598088 3572371 4495568 4546654 4879336 5196176 7144742 9093308 9758672 14289484 18186616 25006597 28578968 36373232 50013194 57157936 100026388 200052776 400105552