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53404416 = 2832131783
BaseRepresentation
bin1100101110111…
…0001100000000
310201111020002100
43023232030000
5102132420131
65144350400
71215634002
oct313561400
9121436070
1053404416
112816658a
1215a75400
13b0aab60
147142372
154a4d7e6
hex32ee300

53404416 has 108 divisors (see below), whose sum is σ = 165915568. Its totient is φ = 16422912.

The previous prime is 53404397. The next prime is 53404423. The reversal of 53404416 is 61440435.

It is a self number, because there is not a number n which added to its sum of digits gives 53404416.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29061 + ... + 30843.

Almost surely, 253404416 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 53404416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82957784).

53404416 is an abundant number, since it is smaller than the sum of its proper divisors (112511152).

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

53404416 is a wasteful number, since it uses less digits than its factorization.

53404416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1801 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 53404416 is about 7307.8325103960. The cubic root of 53404416 is about 376.5815656893.

The spelling of 53404416 in words is "fifty-three million, four hundred four thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 768 832 936 1152 1248 1664 1783 1872 2304 2496 3328 3566 3744 4992 5349 7132 7488 9984 10698 14264 14976 16047 21396 23179 28528 29952 32094 42792 46358 57056 64188 69537 85584 92716 114112 128376 139074 171168 185432 208611 228224 256752 278148 342336 370864 417222 456448 513504 556296 684672 741728 834444 1027008 1112592 1369344 1483456 1668888 2054016 2225184 2966912 3337776 4108032 4450368 5933824 6675552 8900736 13351104 17801472 26702208 53404416