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55642356 = 22337116691
BaseRepresentation
bin1101010001000…
…0100011110100
310212200220222000
43110100203310
5103221023411
65304335300
71243644420
oct324204364
9125626860
1055642356
1129454a20
1216774530
13b6b2693
147565b80
154d41956
hex35108f4

55642356 has 96 divisors (see below), whose sum is σ = 179880960. Its totient is φ = 14450400.

The previous prime is 55642337. The next prime is 55642373. The reversal of 55642356 is 65324655.

It is a happy number.

55642356 is a `hidden beast` number, since 5 + 5 + 642 + 3 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 55642356.

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 31 ways as a sum of consecutive naturals, for example, 4971 + ... + 11661.

It is an arithmetic number, because the mean of its divisors is an integer number (1873760).

Almost surely, 255642356 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 55642356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89940480).

55642356 is an abundant number, since it is smaller than the sum of its proper divisors (124238604).

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

55642356 is a wasteful number, since it uses less digits than its factorization.

55642356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6722 (or 6714 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 55642356 is about 7459.3804032238. The cubic root of 55642356 is about 381.7700341885.

It can be divided in two parts, 55 and 642356, that added together give a triangular number (642411 = T1133).

The spelling of 55642356 in words is "fifty-five million, six hundred forty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 6691 8316 13382 20073 26764 40146 46837 60219 73601 80292 93674 120438 140511 147202 180657 187348 220803 240876 281022 294404 361314 421533 441606 515207 562044 662409 722628 843066 883212 1030414 1264599 1324818 1545621 1686132 1987227 2060828 2529198 2649636 3091242 3974454 4636863 5058396 6182484 7948908 9273726 13910589 18547452 27821178 55642356