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55991000 = 2353135973
BaseRepresentation
bin1101010110010…
…1101011011000
310220100122012202
43111211223120
5103313203000
65320025332
71246626032
oct325455330
9126318182
1055991000
112967295a
1216902248
13b7a5290
147616c52
154daedd5
hex3565ad8

55991000 has 128 divisors (see below), whose sum is σ = 145454400. Its totient is φ = 20044800.

The previous prime is 55990999. The next prime is 55991003. The reversal of 55991000 is 19955.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55991003) 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, 766964 + ... + 767036.

Almost surely, 255991000 is an apocalyptic number.

55991000 is a gapful number since it is divisible by the number (50) 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 55991000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72727200).

55991000 is an abundant number, since it is smaller than the sum of its proper divisors (89463400).

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

55991000 is a wasteful number, since it uses less digits than its factorization.

55991000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 2025, while the sum is 29.

The square root of 55991000 is about 7482.7134115907. The cubic root of 55991000 is about 382.5657397652.

The spelling of 55991000 in words is "fifty-five million, nine hundred ninety-one thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 59 65 73 100 104 118 125 130 146 200 236 250 260 292 295 325 365 472 500 520 584 590 650 730 767 949 1000 1180 1300 1460 1475 1534 1625 1825 1898 2360 2600 2920 2950 3068 3250 3650 3796 3835 4307 4745 5900 6136 6500 7300 7375 7592 7670 8614 9125 9490 11800 13000 14600 14750 15340 17228 18250 18980 19175 21535 23725 29500 30680 34456 36500 37960 38350 43070 47450 55991 59000 73000 76700 86140 94900 95875 107675 111982 118625 153400 172280 189800 191750 215350 223964 237250 279955 383500 430700 447928 474500 538375 559910 767000 861400 949000 1076750 1119820 1399775 2153500 2239640 2799550 4307000 5599100 6998875 11198200 13997750 27995500 55991000