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55405248 = 263596773
BaseRepresentation
bin1101001101011…
…0101011000000
310212020212201020
43103112223000
5103140431443
65255305440
71241636223
oct323265300
9125225636
1055405248
1129302868
121667b280
13b62b792
1475035ba
154ce6583
hex34d6ac0

55405248 has 112 divisors (see below), whose sum is σ = 153375360. Its totient is φ = 17639424.

The previous prime is 55405247. The next prime is 55405249. The reversal of 55405248 is 84250455.

It is an interprime number because it is at equal distance from previous prime (55405247) and next prime (55405249).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55405247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 758940 + ... + 759012.

Almost surely, 255405248 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 55405248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76687680).

55405248 is an abundant number, since it is smaller than the sum of its proper divisors (97970112).

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

55405248 is a wasteful number, since it uses less digits than its factorization.

55405248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 55405248 is about 7443.4701584678. The cubic root of 55405248 is about 381.2269849763.

The spelling of 55405248 in words is "fifty-five million, four hundred five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 67 73 96 118 134 146 177 192 201 219 236 268 292 354 402 438 472 536 584 708 804 876 944 1072 1168 1416 1608 1752 1888 2144 2336 2832 3216 3504 3776 3953 4288 4307 4672 4891 5664 6432 7008 7906 8614 9782 11328 11859 12864 12921 14016 14673 15812 17228 19564 23718 25842 29346 31624 34456 39128 47436 51684 58692 63248 68912 78256 94872 103368 117384 126496 137824 156512 189744 206736 234768 252992 275648 288569 313024 379488 413472 469536 577138 758976 826944 865707 939072 1154276 1731414 2308552 3462828 4617104 6925656 9234208 13851312 18468416 27702624 55405248