Search a number
-
+
841225608 = 233319712887
BaseRepresentation
bin110010001001000…
…001010110001000
32011121220200121000
4302021001112020
53210323204413
6215250215000
726563204536
oct6211012610
92147820530
10841225608
113a1939283
121b5884460
13105388542
147da1b156
154dcbc073
hex32241588

841225608 has 128 divisors (see below), whose sum is σ = 2495232000. Its totient is φ = 261817920.

The previous prime is 841225607. The next prime is 841225639. The reversal of 841225608 is 806522148.

841225608 is a `hidden beast` number, since 8 + 41 + 2 + 2 + 5 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (841225601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289941 + ... + 292827.

It is an arithmetic number, because the mean of its divisors is an integer number (19494000).

Almost surely, 2841225608 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 841225608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1247616000).

841225608 is an abundant number, since it is smaller than the sum of its proper divisors (1654006392).

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

841225608 is a wasteful number, since it uses less digits than its factorization.

841225608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 841225608 is about 29003.8895322679. The cubic root of 841225608 is about 943.9974654006.

The spelling of 841225608 in words is "eight hundred forty-one million, two hundred twenty-five thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 71 72 76 108 114 142 152 171 213 216 228 284 342 426 456 513 568 639 684 852 1026 1278 1349 1368 1704 1917 2052 2556 2698 2887 3834 4047 4104 5112 5396 5774 7668 8094 8661 10792 11548 12141 15336 16188 17322 23096 24282 25983 32376 34644 36423 48564 51966 54853 69288 72846 77949 97128 103932 109706 145692 155898 164559 204977 207864 219412 291384 311796 329118 409954 438824 493677 614931 623592 658236 819908 987354 1229862 1316472 1481031 1639816 1844793 1974708 2459724 2962062 3689586 3894563 3949416 4919448 5534379 5924124 7379172 7789126 11068758 11683689 11848248 14758344 15578252 22137516 23367378 31156504 35051067 44275032 46734756 70102134 93469512 105153201 140204268 210306402 280408536 420612804 841225608