[go: up one dir, main page]

Search a number
-
+
41546440 = 23513109733
BaseRepresentation
bin1001111001111…
…1001011001000
32220011210000001
42132133023020
541113441230
64042252344
71013065435
oct236371310
986153001
1041546440
11214a7501
1211ab70b4
1387b86c0
145736b8c
1539aa0ca
hex279f2c8

41546440 has 64 divisors (see below), whose sum is σ = 101732400. Its totient is φ = 15178752.

The previous prime is 41546413. The next prime is 41546497. The reversal of 41546440 is 4464514.

It can be written as a sum of positive squares in 8 ways, for example, as 27060804 + 14485636 = 5202^2 + 3806^2 .

It is a super-2 number, since 2×415464402 = 3452213353347200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 41546399 and 41546408.

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, 56314 + ... + 57046.

Almost surely, 241546440 is an apocalyptic number.

41546440 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 41546440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50866200).

41546440 is an abundant number, since it is smaller than the sum of its proper divisors (60185960).

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

41546440 is a wasteful number, since it uses less digits than its factorization.

41546440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 41546440 is about 6445.6527985922. The cubic root of 41546440 is about 346.3468738920.

The spelling of 41546440 in words is "forty-one million, five hundred forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 109 130 218 260 436 520 545 733 872 1090 1417 1466 2180 2834 2932 3665 4360 5668 5864 7085 7330 9529 11336 14170 14660 19058 28340 29320 38116 47645 56680 76232 79897 95290 159794 190580 319588 381160 399485 639176 798970 1038661 1597940 2077322 3195880 4154644 5193305 8309288 10386610 20773220 41546440