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55348596 = 22391937
BaseRepresentation
bin1101001100100…
…0110101110100
310212011000000000
43103020311310
5103132123341
65254151300
71241312112
oct323106564
9125130000
1055348596
1129274246
1216652530
13b60ba64
1474caab2
154cd48b6
hex34c8d74

55348596 has 120 divisors (see below), whose sum is σ = 157067680. Its totient is φ = 17006112.

The previous prime is 55348561. The next prime is 55348619. The reversal of 55348596 is 69584355.

55348596 is a `hidden beast` number, since 5 + 53 + 4 + 8 + 596 = 666.

55348596 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1495890 + ... + 1495926.

Almost surely, 255348596 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 55348596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78533840).

55348596 is an abundant number, since it is smaller than the sum of its proper divisors (101719084).

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

55348596 is an equidigital number, since it uses as much as digits as its factorization.

55348596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 61 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 55348596 is about 7439.6637020769. The cubic root of 55348596 is about 381.0970054936.

The spelling of 55348596 in words is "fifty-five million, three hundred forty-eight thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 37 38 54 57 74 76 81 108 111 114 148 162 171 222 228 243 324 333 342 444 486 513 666 684 703 729 972 999 1026 1332 1406 1458 1539 1998 2052 2109 2187 2812 2916 2997 3078 3996 4218 4374 4617 5994 6156 6327 6561 8436 8748 8991 9234 11988 12654 13122 13851 17982 18468 18981 19683 25308 26244 26973 27702 35964 37962 39366 41553 53946 55404 56943 75924 78732 80919 83106 107892 113886 124659 161838 166212 170829 227772 242757 249318 323676 341658 373977 485514 498636 512487 683316 728271 747954 971028 1024974 1456542 1495908 1537461 2049948 2913084 3074922 4612383 6149844 9224766 13837149 18449532 27674298 55348596