Search a number
-
+
49996440 = 23345131187
BaseRepresentation
bin1011111010111…
…0001010011000
310111002002020000
42332232022120
5100244341230
64543333000
71144651134
oct276561230
9114062200
1049996440
112624907a
12148b1160
13a4868c0
1468d63c4
1545c8b60
hex2fae298

49996440 has 160 divisors (see below), whose sum is σ = 181122480. Its totient is φ = 12296448.

The previous prime is 49996421. The next prime is 49996469. The reversal of 49996440 is 4469994.

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 39 ways as a sum of consecutive naturals, for example, 41527 + ... + 42713.

Almost surely, 249996440 is an apocalyptic number.

49996440 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 49996440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90561240).

49996440 is an abundant number, since it is smaller than the sum of its proper divisors (131126040).

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

49996440 is a wasteful number, since it uses less digits than its factorization.

49996440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 49996440 is about 7070.8160773704. The cubic root of 49996440 is about 368.3944062218.

The spelling of 49996440 in words is "forty-nine million, nine hundred ninety-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 81 90 104 108 117 120 130 135 156 162 180 195 216 234 260 270 312 324 351 360 390 405 468 520 540 585 648 702 780 810 936 1053 1080 1170 1187 1404 1560 1620 1755 2106 2340 2374 2808 3240 3510 3561 4212 4680 4748 5265 5935 7020 7122 8424 9496 10530 10683 11870 14040 14244 15431 17805 21060 21366 23740 28488 30862 32049 35610 42120 42732 46293 47480 53415 61724 64098 71220 77155 85464 92586 96147 106830 123448 128196 138879 142440 154310 160245 185172 192294 213660 231465 256392 277758 308620 320490 370344 384588 416637 427320 462930 480735 555516 617240 640980 694395 769176 833274 925860 961470 1111032 1249911 1281960 1388790 1666548 1851720 1922940 2083185 2499822 2777580 3333096 3845880 4166370 4999644 5555160 6249555 8332740 9999288 12499110 16665480 24998220 49996440