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55095936 = 2737103199
BaseRepresentation
bin1101001000101…
…1001010000000
310211200011102020
43102023022000
5103101032221
65244521440
71236210360
oct322131200
9124604366
1055095936
1129111435
1216550280
13b550a5c
1474629a0
154c84ac6
hex348b280

55095936 has 128 divisors (see below), whose sum is σ = 169728000. Its totient is φ = 15510528.

The previous prime is 55095919. The next prime is 55095973. The reversal of 55095936 is 63959055.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276765 + ... + 276963.

It is an arithmetic number, because the mean of its divisors is an integer number (1326000).

Almost surely, 255095936 is an apocalyptic number.

55095936 is a gapful number since it is divisible by the number (56) 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 55095936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84864000).

55095936 is an abundant number, since it is smaller than the sum of its proper divisors (114632064).

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

55095936 is a wasteful number, since it uses less digits than its factorization.

55095936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 42.

The square root of 55095936 is about 7422.6636728334. The cubic root of 55095936 is about 380.5162328177.

The spelling of 55095936 in words is "fifty-five million, ninety-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 128 168 192 199 206 224 309 336 384 398 412 448 597 618 672 721 796 824 896 1194 1236 1344 1393 1442 1592 1648 2163 2388 2472 2688 2786 2884 3184 3296 4179 4326 4776 4944 5572 5768 6368 6592 8358 8652 9552 9888 11144 11536 12736 13184 16716 17304 19104 19776 20497 22288 23072 25472 33432 34608 38208 39552 40994 44576 46144 61491 66864 69216 76416 81988 89152 92288 122982 133728 138432 143479 163976 178304 245964 267456 276864 286958 327952 430437 491928 534912 573916 655904 860874 983856 1147832 1311808 1721748 1967712 2295664 2623616 3443496 3935424 4591328 6886992 7870848 9182656 13773984 18365312 27547968 55095936