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55274736 = 24311231307
BaseRepresentation
bin1101001011011…
…0110011110000
310212000020200110
43102312303300
5103122242421
65252421320
71240553556
oct322666360
9125006613
1055274736
1129223800
1216617840
13b5b425a
1474abbd6
154cbca76
hex34b6cf0

55274736 has 120 divisors (see below), whose sum is σ = 162545152. Its totient is φ = 16156800.

The previous prime is 55274731. The next prime is 55274749. The reversal of 55274736 is 63747255.

55274736 = T440 + T441 + ... + T746.

It is a junction number, because it is equal to n+sod(n) for n = 55274694 and 55274703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55274731) 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, 179895 + ... + 180201.

Almost surely, 255274736 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 55274736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81272576).

55274736 is an abundant number, since it is smaller than the sum of its proper divisors (107270416).

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

55274736 is a wasteful number, since it uses less digits than its factorization.

55274736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 354 counting only the distinct ones).

The product of its digits is 176400, while the sum is 39.

The square root of 55274736 is about 7434.6981108852. The cubic root of 55274736 is about 380.9274115817.

The spelling of 55274736 in words is "fifty-five million, two hundred seventy-four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 121 124 132 176 186 242 248 264 307 341 363 372 484 496 528 614 682 726 744 921 968 1023 1228 1364 1452 1488 1842 1936 2046 2456 2728 2904 3377 3684 3751 4092 4912 5456 5808 6754 7368 7502 8184 9517 10131 11253 13508 14736 15004 16368 19034 20262 22506 27016 28551 30008 37147 38068 40524 45012 54032 57102 60016 74294 76136 81048 90024 104687 111441 114204 148588 152272 162096 180048 209374 222882 228408 297176 314061 418748 445764 456816 594352 628122 837496 891528 1151557 1256244 1674992 1783056 2303114 2512488 3454671 4606228 5024976 6909342 9212456 13818684 18424912 27637368 55274736