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55138944 = 273773281
BaseRepresentation
bin1101001001010…
…1101010000000
310211202100102010
43102111222000
5103103421234
65245452520
71236446640
oct322255200
9124670363
1055138944
1129140783
1216571140
13b5674c3
147474520
154c926e9
hex3495a80

55138944 has 128 divisors (see below), whose sum is σ = 170282880. Its totient is φ = 15482880.

The previous prime is 55138913. The next prime is 55138957. The reversal of 55138944 is 44983155.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196084 + ... + 196364.

It is an arithmetic number, because the mean of its divisors is an integer number (1330335).

Almost surely, 255138944 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 55138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85141440).

55138944 is an abundant number, since it is smaller than the sum of its proper divisors (115143936).

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

55138944 is a wasteful number, since it uses less digits than its factorization.

55138944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

The product of its digits is 86400, while the sum is 39.

The square root of 55138944 is about 7425.5601808887. The cubic root of 55138944 is about 380.6152176487.

The spelling of 55138944 in words is "fifty-five million, one hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 128 146 168 192 219 224 281 292 336 384 438 448 511 562 584 672 843 876 896 1022 1124 1168 1344 1533 1686 1752 1967 2044 2248 2336 2688 3066 3372 3504 3934 4088 4496 4672 5901 6132 6744 7008 7868 8176 8992 9344 11802 12264 13488 14016 15736 16352 17984 20513 23604 24528 26976 28032 31472 32704 35968 41026 47208 49056 53952 61539 62944 65408 82052 94416 98112 107904 123078 125888 143591 164104 188832 196224 246156 251776 287182 328208 377664 430773 492312 574364 656416 755328 861546 984624 1148728 1312832 1723092 1969248 2297456 2625664 3446184 3938496 4594912 6892368 7876992 9189824 13784736 18379648 27569472 55138944