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55100934 = 23276167107
BaseRepresentation
bin1101001000110…
…0011000000110
310211200102021100
43102030120012
5103101212214
65245000530
71236231060
oct322143006
9124612240
1055100934
1129115169
1216553146
13b553105
147464730
154c86309
hex348c606

55100934 has 96 divisors (see below), whose sum is σ = 142062336. Its totient is φ = 15111360.

The previous prime is 55100933. The next prime is 55100953. The reversal of 55100934 is 43900155.

55100934 = 37102 + 37112 + ... + 37132.

It is a super-2 number, since 2×551009342 = 6072225855344712, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55100898 and 55100907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55100933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 514909 + ... + 515015.

It is an arithmetic number, because the mean of its divisors is an integer number (1479816).

Almost surely, 255100934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55100934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71031168).

55100934 is an abundant number, since it is smaller than the sum of its proper divisors (86961402).

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

55100934 is a wasteful number, since it uses less digits than its factorization.

55100934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 55100934 is about 7423.0003367910. Note that the first 3 decimals coincide. The cubic root of 55100934 is about 380.5277385824.

The spelling of 55100934 in words is "fifty-five million, one hundred thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 67 107 122 126 134 183 201 214 321 366 402 427 469 549 603 642 749 854 938 963 1098 1206 1281 1407 1498 1926 2247 2562 2814 3843 4087 4221 4494 6527 6741 7169 7686 8174 8442 12261 13054 13482 14338 19581 21507 24522 28609 36783 39162 43014 45689 50183 57218 58743 64521 73566 85827 91378 100366 117486 129042 137067 150549 171654 257481 274134 301098 411201 437309 451647 514962 822402 874618 903294 1311927 2623854 3061163 3935781 6122326 7871562 9183489 18366978 27550467 55100934