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55746288 = 24321397307
BaseRepresentation
bin1101010010100…
…1111011110000
310212220012112100
43110221323300
5103232340123
65310500400
71244556423
oct324517360
9125805470
1055746288
1129516014
1216804700
13b71aa90
1475919ba
154d62643
hex3529ef0

55746288 has 120 divisors (see below), whose sum is σ = 170298128. Its totient is φ = 16920576.

The previous prime is 55746287. The next prime is 55746329. The reversal of 55746288 is 88264755.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55746283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 181431 + ... + 181737.

Almost surely, 255746288 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 55746288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85149064).

55746288 is an abundant number, since it is smaller than the sum of its proper divisors (114551840).

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

55746288 is a wasteful number, since it uses less digits than its factorization.

55746288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 422 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 55746288 is about 7466.3436834906. The cubic root of 55746288 is about 382.0075837059.

The spelling of 55746288 in words is "fifty-five million, seven hundred forty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 97 104 117 144 156 194 208 234 291 307 312 388 468 582 614 624 776 873 921 936 1164 1228 1261 1552 1746 1842 1872 2328 2456 2522 2763 3492 3684 3783 3991 4656 4912 5044 5526 6984 7368 7566 7982 10088 11052 11349 11973 13968 14736 15132 15964 20176 22104 22698 23946 29779 30264 31928 35919 44208 45396 47892 59558 60528 63856 71838 89337 90792 95784 119116 143676 178674 181584 191568 238232 268011 287352 357348 387127 476464 536022 574704 714696 774254 1072044 1161381 1429392 1548508 2144088 2322762 3097016 3484143 4288176 4645524 6194032 6968286 9291048 13936572 18582096 27873144 55746288