Search a number
-
+
41597920 = 2557132857
BaseRepresentation
bin1001111010101…
…1101111100000
32220021101121201
42132223233200
541122113140
64043330544
71013401510
oct236535740
986241551
1041597920
1121532151
1211b20a54
138805c70
14574b840
1539ba49a
hex27abbe0

41597920 has 96 divisors (see below), whose sum is σ = 120996288. Its totient is φ = 13160448.

The previous prime is 41597917. The next prime is 41597957. The reversal of 41597920 is 2979514.

It is a self number, because there is not a number n which added to its sum of digits gives 41597920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13132 + ... + 15988.

It is an arithmetic number, because the mean of its divisors is an integer number (1260378).

Almost surely, 241597920 is an apocalyptic number.

41597920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41597920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60498144).

41597920 is an abundant number, since it is smaller than the sum of its proper divisors (79398368).

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

41597920 is a wasteful number, since it uses less digits than its factorization.

41597920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2884 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 41597920 is about 6449.6449514683. The cubic root of 41597920 is about 346.4898671127.

The spelling of 41597920 in words is "forty-one million, five hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2857 2912 3640 5714 7280 11428 14285 14560 19999 22856 28570 37141 39998 45712 57140 74282 79996 91424 99995 114280 148564 159992 185705 199990 228560 259987 297128 319984 371410 399980 457120 519974 594256 639968 742820 799960 1039948 1188512 1299935 1485640 1599920 2079896 2599870 2971280 3199840 4159792 5199740 5942560 8319584 10399480 20798960 41597920