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2441889792 = 21132177793
BaseRepresentation
bin1001000110001100…
…0100100000000000
320022011211212001200
42101203010200000
520000110433132
61042150101200
7114340502136
oct22143044000
96264755050
102441889792
111043423a41
1258194a800
132cbb94704
14192445756
15e459cd7c
hex918c4800

2441889792 has 144 divisors (see below), whose sum is σ = 7468444620. Its totient is φ = 765984768.

The previous prime is 2441889787. The next prime is 2441889803. The reversal of 2441889792 is 2979881442.

It can be written as a sum of positive squares in 2 ways, for example, as 1958593536 + 483296256 = 44256^2 + 21984^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 309448 + ... + 317240.

Almost surely, 22441889792 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 2441889792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734222310).

2441889792 is an abundant number, since it is smaller than the sum of its proper divisors (5026554828).

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

2441889792 is a wasteful number, since it uses less digits than its factorization.

2441889792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7838 (or 7815 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 2441889792 is about 49415.4812988804. The cubic root of 2441889792 is about 1346.6105722259.

The spelling of 2441889792 in words is "two billion, four hundred forty-one million, eight hundred eighty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2048 2176 2304 2448 3072 3264 4352 4608 4896 6144 6528 7793 8704 9216 9792 13056 15586 17408 18432 19584 23379 26112 31172 34816 39168 46758 52224 62344 70137 78336 93516 104448 124688 132481 140274 156672 187032 249376 264962 280548 313344 374064 397443 498752 529924 561096 748128 794886 997504 1059848 1122192 1192329 1496256 1589772 1995008 2119696 2244384 2384658 2992512 3179544 3990016 4239392 4488768 4769316 5985024 6359088 7980032 8478784 8977536 9538632 11970048 12718176 15960064 16957568 17955072 19077264 23940096 25436352 33915136 35910144 38154528 47880192 50872704 67830272 71820288 76309056 101745408 135660544 143640576 152618112 203490816 271321088 305236224 406981632 610472448 813963264 1220944896 2441889792