Search a number
-
+
55452416 = 28536167
BaseRepresentation
bin1101001110001…
…0001100000000
310212100021102012
43103202030000
5103143434131
65300312052
71242223565
oct323421400
9125307365
1055452416
1129335248
12166a2628
13b6470a6
14751686c
154d0552b
hex34e2300

55452416 has 72 divisors (see below), whose sum is σ = 116336304. Its totient is φ = 26357760.

The previous prime is 55452409. The next prime is 55452421. The reversal of 55452416 is 61425455.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 827615 + ... + 827681.

It is an arithmetic number, because the mean of its divisors is an integer number (1615782).

Almost surely, 255452416 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 55452416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58168152).

55452416 is an abundant number, since it is smaller than the sum of its proper divisors (60883888).

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

55452416 is an equidigital number, since it uses as much as digits as its factorization.

55452416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its digits is 24000, while the sum is 32.

The square root of 55452416 is about 7446.6378990790. The cubic root of 55452416 is about 381.3351372707.

The spelling of 55452416 in words is "fifty-five million, four hundred fifty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 53 61 64 67 106 122 128 134 212 244 256 268 424 488 536 848 976 1072 1696 1952 2144 3233 3392 3551 3904 4087 4288 6466 6784 7102 7808 8174 8576 12932 13568 14204 15616 16348 17152 25864 28408 32696 51728 56816 65392 103456 113632 130784 206912 216611 227264 261568 413824 433222 454528 523136 827648 866444 909056 1046272 1732888 3465776 6931552 13863104 27726208 55452416