Search a number
-
+
55264352 = 2511132929
BaseRepresentation
bin1101001011010…
…0010001100000
310211222201102212
43102310101200
5103121424402
65252301252
71240511363
oct322642140
9124881385
1055264352
1129216a20
1216611828
13b5ac600
1474a80da
154cb9952
hex34b4460

55264352 has 72 divisors (see below), whose sum is σ = 128663640. Its totient is φ = 23162880.

The previous prime is 55264337. The next prime is 55264357. The reversal of 55264352 is 25346255.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55264357) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59024 + ... + 59952.

It is an arithmetic number, because the mean of its divisors is an integer number (1786995).

Almost surely, 255264352 is an apocalyptic number.

55264352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55264352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64331820).

55264352 is an abundant number, since it is smaller than the sum of its proper divisors (73399288).

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

55264352 is a wasteful number, since it uses less digits than its factorization.

55264352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 955 counting only the distinct ones).

The product of its digits is 36000, while the sum is 32.

The square root of 55264352 is about 7433.9997309658. Note that the first 3 decimals coincide. The cubic root of 55264352 is about 380.9035562109.

55264352 divided by its sum of digits (32) gives a triangular number (1727011 = T1858).

The spelling of 55264352 in words is "fifty-five million, two hundred sixty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 88 104 143 169 176 208 286 338 352 416 572 676 929 1144 1352 1858 1859 2288 2704 3716 3718 4576 5408 7432 7436 10219 12077 14864 14872 20438 24154 29728 29744 40876 48308 59488 81752 96616 132847 157001 163504 193232 265694 314002 327008 386464 531388 628004 1062776 1256008 1727011 2125552 2512016 3454022 4251104 5024032 6908044 13816088 27632176 55264352