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55892340 = 22325726337
BaseRepresentation
bin1101010100110…
…1100101110100
310220011121212200
43111031211310
5103302023330
65313544500
71246035300
oct325154564
9126147780
1055892340
1129605819
1216875130
13b76c3ba
1475ccd00
154d90a60
hex354d974

55892340 has 108 divisors (see below), whose sum is σ = 197251236. Its totient is φ = 12773376.

The previous prime is 55892327. The next prime is 55892341. The reversal of 55892340 is 4329855.

It can be written as a sum of positive squares in 2 ways, for example, as 19820304 + 36072036 = 4452^2 + 6006^2 .

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 junction number, because it is equal to n+sod(n) for n = 55892295 and 55892304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55892341) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5652 + ... + 11988.

Almost surely, 255892340 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 55892340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98625618).

55892340 is an abundant number, since it is smaller than the sum of its proper divisors (141358896).

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

55892340 is a wasteful number, since it uses less digits than its factorization.

55892340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6366 (or 6354 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 55892340 is about 7476.1179765972. The cubic root of 55892340 is about 382.3409052575.

The spelling of 55892340 in words is "fifty-five million, eight hundred ninety-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 6337 8820 12674 19011 25348 31685 38022 44359 57033 63370 76044 88718 95055 114066 126740 133077 177436 190110 221795 228132 266154 285165 310513 380220 399231 443590 532308 570330 621026 665385 798462 887180 931539 1140660 1242052 1330770 1552565 1596924 1863078 1996155 2661540 2794617 3105130 3726156 3992310 4657695 5589234 6210260 7984620 9315390 11178468 13973085 18630780 27946170 55892340