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2421333904 = 24113671697
BaseRepresentation
bin1001000001010010…
…1001111110010000
320020202011111200111
42100110221332100
514424330141104
61040133331104
7114000666343
oct22024517620
96222144614
102421333904
111032864000
12576a96a94
132c7848272
1418d81445a
15e288c404
hex90529f90

2421333904 has 80 divisors (see below), whose sum is σ = 5240218176. Its totient is φ = 1083540480.

The previous prime is 2421333899. The next prime is 2421333949. The reversal of 2421333904 is 4093331242.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1425984 + ... + 1427680.

Almost surely, 22421333904 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 2421333904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2620109088).

2421333904 is an abundant number, since it is smaller than the sum of its proper divisors (2818884272).

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

2421333904 is a wasteful number, since it uses less digits than its factorization.

2421333904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The square root of 2421333904 is about 49207.0513646164. The cubic root of 2421333904 is about 1342.8213193315.

The spelling of 2421333904 in words is "two billion, four hundred twenty-one million, three hundred thirty-three thousand, nine hundred four".

Divisors: 1 2 4 8 11 16 22 44 67 88 121 134 176 242 268 484 536 737 968 1072 1331 1474 1697 1936 2662 2948 3394 5324 5896 6788 8107 10648 11792 13576 16214 18667 21296 27152 32428 37334 64856 74668 89177 113699 129712 149336 178354 205337 227398 298672 356708 410674 454796 713416 821348 909592 1250689 1426832 1642696 1819184 2258707 2501378 3285392 4517414 5002756 9034828 10005512 13757579 18069656 20011024 27515158 36139312 55030316 110060632 151333369 220121264 302666738 605333476 1210666952 2421333904