Search a number
-
+
55549152 = 253429739
BaseRepresentation
bin1101001111100…
…1110011100000
310212112012010000
43103321303200
5103210033102
65302340000
71243105611
oct323716340
9125465100
1055549152
11293a099a
121672a600
13b67c129
14753dc08
154d2401c
hex34f9ce0

55549152 has 120 divisors (see below), whose sum is σ = 169230600. Its totient is φ = 17853696.

The previous prime is 55549133. The next prime is 55549177. The reversal of 55549152 is 25194555.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 74799 + ... + 75537.

It is an arithmetic number, because the mean of its divisors is an integer number (1410255).

Almost surely, 255549152 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 55549152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84615300).

55549152 is an abundant number, since it is smaller than the sum of its proper divisors (113681448).

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

55549152 is a wasteful number, since it uses less digits than its factorization.

55549152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 773 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

The square root of 55549152 is about 7453.1303490547. The cubic root of 55549152 is about 381.5567531386.

It can be divided in two parts, 55549 and 152, that multiplied together give a palindrome (8443448).

The spelling of 55549152 in words is "fifty-five million, five hundred forty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 261 288 324 348 432 464 522 648 696 739 783 864 928 1044 1296 1392 1478 1566 2088 2217 2349 2592 2784 2956 3132 4176 4434 4698 5912 6264 6651 8352 8868 9396 11824 12528 13302 17736 18792 19953 21431 23648 25056 26604 35472 37584 39906 42862 53208 59859 64293 70944 75168 79812 85724 106416 119718 128586 159624 171448 192879 212832 239436 257172 319248 342896 385758 478872 514344 578637 638496 685792 771516 957744 1028688 1157274 1543032 1735911 1915488 2057376 2314548 3086064 3471822 4629096 6172128 6943644 9258192 13887288 18516384 27774576 55549152