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55719936 = 211323023
BaseRepresentation
bin1101010010001…
…1100000000000
310212211212101100
43110203200000
5103231014221
65310134400
71244416536
oct324434000
9125755340
1055719936
11294a8238
12167b1400
13b70ba9c
147586156
154d59926
hex3523800

55719936 has 72 divisors (see below), whose sum is σ = 160982640. Its totient is φ = 18567168.

The previous prime is 55719919. The next prime is 55719941. The reversal of 55719936 is 63991755.

55719936 is a `hidden beast` number, since 557 + 1 + 9 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×557199362 = 6209422535688192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 55719891 and 55719900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16921 + ... + 19943.

It is an arithmetic number, because the mean of its divisors is an integer number (2235870).

Almost surely, 255719936 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 55719936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80491320).

55719936 is an abundant number, since it is smaller than the sum of its proper divisors (105262704).

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

55719936 is a wasteful number, since it uses less digits than its factorization.

55719936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3051 (or 3028 counting only the distinct ones).

The product of its digits is 255150, while the sum is 45.

The square root of 55719936 is about 7464.5787556968. The cubic root of 55719936 is about 381.9473808904.

The spelling of 55719936 in words is "fifty-five million, seven hundred nineteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3023 3072 4608 6046 6144 9069 9216 12092 18138 18432 24184 27207 36276 48368 54414 72552 96736 108828 145104 193472 217656 290208 386944 435312 580416 773888 870624 1160832 1547776 1741248 2321664 3095552 3482496 4643328 6191104 6964992 9286656 13929984 18573312 27859968 55719936