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55217904 = 24372171381
BaseRepresentation
bin1101001010100…
…0111011110000
310211220100201120
43102220323300
5103113433104
65251302240
71240226100
oct322507360
9124810646
1055217904
1129195035
12165aa980
13b594421
147495200
154caacd9
hex34a8ef0

55217904 has 120 divisors (see below), whose sum is σ = 175823568. Its totient is φ = 14837760.

The previous prime is 55217893. The next prime is 55217927. The reversal of 55217904 is 40971255.

55217904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39294 + ... + 40674.

Almost surely, 255217904 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 55217904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87911784).

55217904 is an abundant number, since it is smaller than the sum of its proper divisors (120605664).

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

55217904 is a wasteful number, since it uses less digits than its factorization.

55217904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 55217904 is about 7430.8750494138. The cubic root of 55217904 is about 380.7968136988.

The spelling of 55217904 in words is "fifty-five million, two hundred seventeen thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 357 392 408 476 588 714 784 816 833 952 1176 1381 1428 1666 1904 2352 2499 2762 2856 3332 4143 4998 5524 5712 6664 8286 9667 9996 11048 13328 16572 19334 19992 22096 23477 29001 33144 38668 39984 46954 58002 66288 67669 70431 77336 93908 116004 135338 140862 154672 164339 187816 203007 232008 270676 281724 328678 375632 406014 464016 493017 541352 563448 657356 812028 986034 1082704 1126896 1150373 1314712 1624056 1972068 2300746 2629424 3248112 3451119 3944136 4601492 6902238 7888272 9202984 13804476 18405968 27608952 55217904