Search a number
-
+
94451040 = 25325107613
BaseRepresentation
bin1011010000100…
…11010101100000
320120201121110200
411220103111200
5143134413130
613212225200
72224551315
oct550232540
9216647420
1094451040
1149351512
122776b200
131674cbb8
14c788d0c
15845a760
hex5a13560

94451040 has 144 divisors (see below), whose sum is σ = 325857168. Its totient is φ = 24910848.

The previous prime is 94451009. The next prime is 94451051. The reversal of 94451040 is 4015449.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 94450995 and 94451013.

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 23 ways as a sum of consecutive naturals, for example, 153774 + ... + 154386.

It is an arithmetic number, because the mean of its divisors is an integer number (2262897).

Almost surely, 294451040 is an apocalyptic number.

94451040 is a gapful number since it is divisible by the number (90) 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 94451040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162928584).

94451040 is an abundant number, since it is smaller than the sum of its proper divisors (231406128).

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

94451040 is a wasteful number, since it uses less digits than its factorization.

94451040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 94451040 is about 9718.5924906851. The cubic root of 94451040 is about 455.4096700783.

Adding to 94451040 its reverse (4015449), we get a palindrome (98466489).

It can be divided in two parts, 944 and 51040, that added together give a square (51984 = 2282).

The spelling of 94451040 in words is "ninety-four million, four hundred fifty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 107 120 144 160 180 214 240 288 321 360 428 480 535 613 642 720 856 963 1070 1226 1284 1440 1605 1712 1839 1926 2140 2452 2568 3065 3210 3424 3678 3852 4280 4815 4904 5136 5517 6130 6420 7356 7704 8560 9195 9630 9808 10272 11034 12260 12840 14712 15408 17120 18390 19260 19616 22068 24520 25680 27585 29424 30816 36780 38520 44136 49040 51360 55170 58848 65591 73560 77040 88272 98080 110340 131182 147120 154080 176544 196773 220680 262364 294240 327955 393546 441360 524728 590319 655910 787092 882720 983865 1049456 1180638 1311820 1574184 1967730 2098912 2361276 2623640 2951595 3148368 3935460 4722552 5247280 5903190 6296736 7870920 9445104 10494560 11806380 15741840 18890208 23612760 31483680 47225520 94451040