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55788372 = 22334143293
BaseRepresentation
bin1101010011010…
…0001101010100
310212222100021000
43110310031110
5103240211442
65311423300
71245123213
oct324641524
9125870230
1055788372
11295446a2
1216824b30
13b733c93
1475a307a
154d6ed4c
hex3534354

55788372 has 96 divisors (see below), whose sum is σ = 152127360. Its totient is φ = 17660160.

The previous prime is 55788361. The next prime is 55788377. The reversal of 55788372 is 27388755.

55788372 is a `hidden beast` number, since 5 + 578 + 8 + 3 + 72 = 666.

It is a super-2 number, since 2×557883722 = 6224684900820768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55788377) 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, 190258 + ... + 190550.

It is an arithmetic number, because the mean of its divisors is an integer number (1584660).

Almost surely, 255788372 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 55788372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76063680).

55788372 is an abundant number, since it is smaller than the sum of its proper divisors (96338988).

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

55788372 is a wasteful number, since it uses less digits than its factorization.

55788372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its digits is 470400, while the sum is 45.

The square root of 55788372 is about 7469.1613987114. The cubic root of 55788372 is about 382.1036879426.

The spelling of 55788372 in words is "fifty-five million, seven hundred eighty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 43 54 82 86 108 123 129 164 172 246 258 293 369 387 492 516 586 738 774 879 1107 1161 1172 1476 1548 1758 1763 2214 2322 2637 3516 3526 4428 4644 5274 5289 7052 7911 10548 10578 12013 12599 15822 15867 21156 24026 25198 31644 31734 36039 37797 47601 48052 50396 63468 72078 75594 95202 108117 113391 144156 151188 190404 216234 226782 324351 340173 432468 453564 516559 648702 680346 1033118 1297404 1360692 1549677 2066236 3099354 4649031 6198708 9298062 13947093 18596124 27894186 55788372