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55140750 = 234537389
BaseRepresentation
bin1101001001011…
…0000110001110
310211202102220000
43102112012032
5103104001000
65245505130
71236455130
oct322260616
9124672800
1055140750
1129142075
12165721a6
13b568282
147475050
154c93000
hex349618e

55140750 has 160 divisors (see below), whose sum is σ = 176679360. Its totient is φ = 12571200.

The previous prime is 55140739. The next prime is 55140763. The reversal of 55140750 is 5704155.

55140750 is a `hidden beast` number, since 551 + 40 + 75 + 0 = 666.

It is a super-3 number, since 3×551407503 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 141556 + ... + 141944.

It is an arithmetic number, because the mean of its divisors is an integer number (1104246).

Almost surely, 255140750 is an apocalyptic number.

55140750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 55140750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88339680).

55140750 is an abundant number, since it is smaller than the sum of its proper divisors (121538610).

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

55140750 is a wasteful number, since it uses less digits than its factorization.

55140750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 55140750 is about 7425.6817868799. The cubic root of 55140750 is about 380.6193731120.

The spelling of 55140750 in words is "fifty-five million, one hundred forty thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 81 90 105 125 126 135 150 162 175 189 210 225 250 270 315 350 375 378 389 405 450 525 567 630 675 750 778 810 875 945 1050 1125 1134 1167 1350 1575 1750 1890 1945 2025 2250 2334 2625 2723 2835 3150 3375 3501 3890 4050 4725 5250 5446 5670 5835 6750 7002 7875 8169 9450 9725 10125 10503 11670 13615 14175 15750 16338 17505 19450 20250 21006 23625 24507 27230 28350 29175 31509 35010 40845 47250 48625 49014 52515 58350 63018 68075 70875 73521 81690 87525 97250 105030 122535 136150 141750 145875 147042 157545 175050 204225 220563 245070 262575 291750 315090 340375 367605 408450 437625 441126 525150 612675 680750 735210 787725 875250 1021125 1102815 1225350 1312875 1575450 1838025 2042250 2205630 2625750 3063375 3676050 3938625 5514075 6126750 7877250 9190125 11028150 18380250 27570375 55140750