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55364100 = 223521119883
BaseRepresentation
bin1101001100110…
…0101000000100
310212011210021020
43103030220010
5103133122400
65254351140
71241405241
oct323145004
9125153236
1055364100
1129284960
121665b4b0
13b615b2c
1474d25c8
154cd92a0
hex34cca04

55364100 has 144 divisors (see below), whose sum is σ = 184154880. Its totient is φ = 12700800.

The previous prime is 55364083. The next prime is 55364131. The reversal of 55364100 is 146355.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62259 + ... + 63141.

Almost surely, 255364100 is an apocalyptic number.

55364100 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 55364100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92077440).

55364100 is an abundant number, since it is smaller than the sum of its proper divisors (128790780).

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

55364100 is a wasteful number, since it uses less digits than its factorization.

55364100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 55364100 is about 7440.7056117011. The cubic root of 55364100 is about 381.1325858985.

The spelling of 55364100 in words is "fifty-five million, three hundred sixty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 25 30 33 38 44 50 55 57 60 66 75 76 95 100 110 114 132 150 165 190 209 220 228 275 285 300 330 380 418 475 550 570 627 660 825 836 883 950 1045 1100 1140 1254 1425 1650 1766 1900 2090 2508 2649 2850 3135 3300 3532 4180 4415 5225 5298 5700 6270 8830 9713 10450 10596 12540 13245 15675 16777 17660 19426 20900 22075 26490 29139 31350 33554 38852 44150 48565 50331 52980 58278 62700 66225 67108 83885 88300 97130 100662 116556 132450 145695 167770 184547 194260 201324 242825 251655 264900 291390 335540 369094 419425 485650 503310 553641 582780 728475 738188 838850 922735 971300 1006620 1107282 1258275 1456950 1677700 1845470 2214564 2516550 2768205 2913900 3690940 4613675 5033100 5536410 9227350 11072820 13841025 18454700 27682050 55364100