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55077048 = 233213192163
BaseRepresentation
bin1101001000011…
…0100010111000
310211122012111200
43102012202320
5103044431143
65244254200
71236101325
oct322064270
9124565450
1055077048
11290a9224
1216541360
13b545290
147459b4c
154c7e1d3
hex34868b8

55077048 has 144 divisors (see below), whose sum is σ = 170581320. Its totient is φ = 15956352.

The previous prime is 55077037. The next prime is 55077089. The reversal of 55077048 is 84077055.

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

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 337815 + ... + 337977.

Almost surely, 255077048 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 55077048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85290660).

55077048 is an abundant number, since it is smaller than the sum of its proper divisors (115504272).

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

55077048 is a wasteful number, since it uses less digits than its factorization.

55077048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 55077048 is about 7421.3912442345. The cubic root of 55077048 is about 380.4727449637.

The spelling of 55077048 in words is "fifty-five million, seventy-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 19 24 26 36 38 39 52 57 72 76 78 104 114 117 152 156 163 171 228 234 247 312 326 342 361 456 468 489 494 652 684 722 741 936 978 988 1083 1304 1368 1444 1467 1482 1956 1976 2119 2166 2223 2888 2934 2964 3097 3249 3912 4238 4332 4446 4693 5868 5928 6194 6357 6498 8476 8664 8892 9291 9386 11736 12388 12714 12996 14079 16952 17784 18582 18772 19071 24776 25428 25992 27873 28158 37164 37544 38142 40261 42237 50856 55746 56316 58843 74328 76284 80522 84474 111492 112632 117686 120783 152568 161044 168948 176529 222984 235372 241566 322088 337896 353058 362349 470744 483132 529587 706116 724698 764959 966264 1059174 1412232 1449396 1529918 2118348 2294877 2898792 3059836 4236696 4589754 6119672 6884631 9179508 13769262 18359016 27538524 55077048