Search a number
-
+
449844193240 = 235132139478741
BaseRepresentation
bin1101000101111001100…
…11011010011111011000
31121000010102012201220221
412202330303122133120
524332240103140430
6542353334125424
744333362360441
oct6427463323730
91530112181827
10449844193240
11163861357532
1273223ab0874
1333560028100
1417ab5d362c8
15ba7c76357a
hex68bccda7d8

449844193240 has 96 divisors (see below), whose sum is σ = 1103883303600. Its totient is φ = 164901035520.

The previous prime is 449844193237. The next prime is 449844193241. The reversal of 449844193240 is 42391448944.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (449844193241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 700270 + ... + 1179010.

Almost surely, 2449844193240 is an apocalyptic number.

449844193240 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 449844193240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551941651800).

449844193240 is an abundant number, since it is smaller than the sum of its proper divisors (654039110360).

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

449844193240 is a wasteful number, since it uses less digits than its factorization.

449844193240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478917 (or 478900 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 52.

The spelling of 449844193240 in words is "four hundred forty-nine billion, eight hundred forty-four million, one hundred ninety-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 139 169 260 278 338 520 556 676 695 845 1112 1352 1390 1690 1807 2780 3380 3614 5560 6760 7228 9035 14456 18070 23491 36140 46982 72280 93964 117455 187928 234910 469820 478741 939640 957482 1914964 2393705 3829928 4787410 6223633 9574820 12447266 19149640 24894532 31118165 49789064 62236330 66544999 80907229 124472660 133089998 161814458 248945320 266179996 323628916 332724995 404536145 532359992 647257832 665449990 809072290 865084987 1330899980 1618144580 1730169974 2661799960 3236289160 3460339948 4325424935 6920679896 8650849870 11246104831 17301699740 22492209662 34603399480 44984419324 56230524155 89968838648 112461048310 224922096620 449844193240