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55119744 = 273341389
BaseRepresentation
bin1101001001000…
…0111110000000
310211201101002000
43102100332000
5103102312434
65245224000
71236336651
oct322207600
9124641060
1055119744
1129128309
1216562000
13b55b844
14746b528
154c8bb99
hex3490f80

55119744 has 128 divisors (see below), whose sum is σ = 167076000. Its totient is φ = 17879040.

The previous prime is 55119737. The next prime is 55119781. The reversal of 55119744 is 44791155.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55119699 and 55119708.

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, 141502 + ... + 141890.

Almost surely, 255119744 is an apocalyptic number.

55119744 is a gapful number since it is divisible by the number (54) 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 55119744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83538000).

55119744 is an abundant number, since it is smaller than the sum of its proper divisors (111956256).

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

55119744 is a wasteful number, since it uses less digits than its factorization.

55119744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 435 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 55119744 is about 7424.2672365695. The cubic root of 55119744 is about 380.5710343544.

The spelling of 55119744 in words is "fifty-five million, one hundred nineteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 288 328 369 384 389 432 492 576 656 738 778 864 984 1107 1152 1167 1312 1476 1556 1728 1968 2214 2334 2624 2952 3112 3456 3501 3936 4428 4668 5248 5904 6224 7002 7872 8856 9336 10503 11808 12448 14004 15744 15949 17712 18672 21006 23616 24896 28008 31898 35424 37344 42012 47232 47847 49792 56016 63796 70848 74688 84024 95694 112032 127592 141696 143541 149376 168048 191388 224064 255184 287082 336096 382776 430623 448128 510368 574164 672192 765552 861246 1020736 1148328 1344384 1531104 1722492 2041472 2296656 3062208 3444984 4593312 6124416 6889968 9186624 13779936 18373248 27559872 55119744