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55147136 = 271153739
BaseRepresentation
bin1101001001011…
…1101010000000
310211202202122112
43102113222000
5103104202021
65245554452
71236512552
oct322275200
9124682575
1055147136
1129146950
1216575a28
13b56b155
1474774d2
154c94d5b
hex3497a80

55147136 has 64 divisors (see below), whose sum is σ = 122277600. Its totient is φ = 24560640.

The previous prime is 55147129. The next prime is 55147207. The reversal of 55147136 is 63174155.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 74255 + ... + 74993.

Almost surely, 255147136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55147136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61138800).

55147136 is an abundant number, since it is smaller than the sum of its proper divisors (67130464).

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

55147136 is a wasteful number, since it uses less digits than its factorization.

55147136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 817 (or 805 counting only the distinct ones).

The product of its digits is 12600, while the sum is 32.

The square root of 55147136 is about 7426.1117686175. Note that the first 3 decimals coincide. The cubic root of 55147136 is about 380.6340660659.

The spelling of 55147136 in words is "fifty-five million, one hundred forty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 128 176 212 352 424 583 704 739 848 1166 1408 1478 1696 2332 2956 3392 4664 5912 6784 8129 9328 11824 16258 18656 23648 32516 37312 39167 47296 65032 74624 78334 94592 130064 156668 260128 313336 430837 520256 626672 861674 1040512 1253344 1723348 2506688 3446696 5013376 6893392 13786784 27573568 55147136