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55878732 = 223271337461
BaseRepresentation
bin1101010100101…
…0010001001100
310220010221012200
43111022101030
5103301104412
65313401500
71245650520
oct325122114
9126127180
1055878732
11295a6578
1216869290
13b766150
1475c7d80
154d8b9dc
hex354a44c

55878732 has 144 divisors (see below), whose sum is σ = 178930752. Its totient is φ = 14307840.

The previous prime is 55878731. The next prime is 55878733. The reversal of 55878732 is 23787855.

It is an interprime number because it is at equal distance from previous prime (55878731) and next prime (55878733).

It is not an unprimeable number, because it can be changed into a prime (55878731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120982 + ... + 121442.

Almost surely, 255878732 is an apocalyptic number.

55878732 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55878732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89465376).

55878732 is an abundant number, since it is smaller than the sum of its proper divisors (123052020).

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

55878732 is a wasteful number, since it uses less digits than its factorization.

55878732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528 (or 523 counting only the distinct ones).

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

The square root of 55878732 is about 7475.2078231980. The cubic root of 55878732 is about 382.3098734719.

The spelling of 55878732 in words is "fifty-five million, eight hundred seventy-eight thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 37 39 42 52 63 74 78 84 91 111 117 126 148 156 182 222 234 252 259 273 333 364 444 461 468 481 518 546 666 777 819 922 962 1036 1092 1332 1383 1443 1554 1638 1844 1924 2331 2766 2886 3108 3227 3276 3367 4149 4329 4662 5532 5772 5993 6454 6734 8298 8658 9324 9681 10101 11986 12908 13468 16596 17057 17316 17979 19362 20202 23972 29043 30303 34114 35958 38724 40404 41951 51171 53937 58086 60606 68228 71916 83902 102342 107874 116172 119399 121212 125853 153513 167804 204684 215748 221741 238798 251706 307026 358197 377559 443482 477596 503412 614052 665223 716394 755118 886964 1074591 1330446 1432788 1510236 1552187 1995669 2149182 2660892 3104374 3991338 4298364 4656561 6208748 7982676 9313122 13969683 18626244 27939366 55878732