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55378176 = 283710301
BaseRepresentation
bin1101001101000…
…0000100000000
310212012111120120
43103100010000
5103134100201
65254540240
71241464260
oct323200400
9125174516
1055378176
1129294497
1216667680
13b61c369
1474d77a0
154cdd536
hex34d0100

55378176 has 72 divisors (see below), whose sum is σ = 168458304. Its totient is φ = 15820800.

The previous prime is 55378157. The next prime is 55378177. The reversal of 55378176 is 67187355.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (55378177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226 + ... + 10526.

Almost surely, 255378176 is an apocalyptic number.

55378176 is a gapful number since it is divisible by the number (56) 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 55378176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84229152).

55378176 is an abundant number, since it is smaller than the sum of its proper divisors (113080128).

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

55378176 is a wasteful number, since it uses less digits than its factorization.

55378176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10327 (or 10313 counting only the distinct ones).

The product of its digits is 176400, while the sum is 42.

The square root of 55378176 is about 7441.6514296223. The cubic root of 55378176 is about 381.1648834083.

The spelling of 55378176 in words is "fifty-five million, three hundred seventy-eight thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 10301 20602 30903 41204 61806 72107 82408 123612 144214 164816 216321 247224 288428 329632 432642 494448 576856 659264 865284 988896 1153712 1318528 1730568 1977792 2307424 2637056 3461136 3955584 4614848 6922272 7911168 9229696 13844544 18459392 27689088 55378176