Search a number
-
+
55974870 = 23257233863
BaseRepresentation
bin1101010110000…
…1101111010110
310220022211002100
43111201233112
5103312143440
65315422530
71246531020
oct325415726
9126284070
1055974870
1129661826
12168b4a46
13b79ab33
147611010
154daa230
hex3561bd6

55974870 has 96 divisors (see below), whose sum is σ = 173601792. Its totient is φ = 12234816.

The previous prime is 55974839. The next prime is 55974887. The reversal of 55974870 is 7847955.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12559 + ... + 16421.

It is an arithmetic number, because the mean of its divisors is an integer number (1808352).

Almost surely, 255974870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55974870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86800896).

55974870 is an abundant number, since it is smaller than the sum of its proper divisors (117626922).

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

55974870 is a wasteful number, since it uses less digits than its factorization.

55974870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3906 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 55974870 is about 7481.6355163828. The cubic root of 55974870 is about 382.5289994674.

The spelling of 55974870 in words is "fifty-five million, nine hundred seventy-four thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 30 35 42 45 46 63 69 70 90 105 115 126 138 161 207 210 230 315 322 345 414 483 630 690 805 966 1035 1449 1610 2070 2415 2898 3863 4830 7245 7726 11589 14490 19315 23178 27041 34767 38630 54082 57945 69534 81123 88849 115890 135205 162246 173835 177698 243369 266547 270410 347670 405615 444245 486738 533094 621943 799641 811230 888490 1216845 1243886 1332735 1599282 1865829 2433690 2665470 3109715 3731658 3998205 5597487 6219430 7996410 9329145 11194974 18658290 27987435 55974870