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55313104 = 247111719139
BaseRepresentation
bin1101001100000…
…0001011010000
310212002012022111
43103000023100
5103130004404
65253315104
71241103460
oct323001320
9125065274
1055313104
112924a610
1216635a94
13b5c8862
1474bbba0
154cc9104
hex34c02d0

55313104 has 160 divisors (see below), whose sum is σ = 149990400. Its totient is φ = 19077120.

The previous prime is 55313099. The next prime is 55313107. The reversal of 55313104 is 40131355.

It is a happy number.

It is a super-2 number, since 2×553131042 = 6119078948229632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55313107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397867 + ... + 398005.

It is an arithmetic number, because the mean of its divisors is an integer number (937440).

Almost surely, 255313104 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 55313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74995200).

55313104 is an abundant number, since it is smaller than the sum of its proper divisors (94677296).

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

55313104 is a wasteful number, since it uses less digits than its factorization.

55313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 55313104 is about 7437.2779966867. The cubic root of 55313104 is about 381.0155292499.

Adding to 55313104 its reverse (40131355), we get a palindrome (95444459).

The spelling of 55313104 in words is "fifty-five million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 17 19 22 28 34 38 44 56 68 76 77 88 112 119 133 136 139 152 154 176 187 209 238 266 272 278 304 308 323 374 418 476 532 556 616 646 748 836 952 973 1064 1112 1232 1292 1309 1463 1496 1529 1672 1904 1946 2128 2224 2261 2363 2584 2618 2641 2926 2992 3058 3344 3553 3892 4522 4726 5168 5236 5282 5852 6116 7106 7784 9044 9452 10472 10564 10703 11704 12232 14212 15568 16541 18088 18487 18904 20944 21128 21406 23408 24464 24871 25993 28424 29051 33082 36176 36974 37808 42256 42812 44897 49742 51986 56848 58102 66164 73948 85624 89794 99484 103972 116204 132328 147896 171248 179588 181951 198968 203357 207944 232408 264656 295792 314279 359176 363902 397936 406714 415888 464816 493867 628558 718352 727804 813428 987734 1257116 1455608 1626856 1975468 2514232 2911216 3253712 3457069 3950936 5028464 6914138 7901872 13828276 27656552 55313104