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2933423948 = 2271397251331
BaseRepresentation
bin1010111011011000…
…0111111101001100
321120102202101011102
42232312013331030
522001424031243
61203025242232
7132456456260
oct25666077514
97512671142
102933423948
111275928914
1269a493378
13379974320
141db8360a0
151227e29b8
hexaed87f4c

2933423948 has 96 divisors (see below), whose sum is σ = 6428072448. Its totient is φ = 1140480000.

The previous prime is 2933423903. The next prime is 2933423951. The reversal of 2933423948 is 8493243392.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8862143 + ... + 8862473.

It is an arithmetic number, because the mean of its divisors is an integer number (66959088).

Almost surely, 22933423948 is an apocalyptic number.

2933423948 is a gapful number since it is divisible by the number (28) 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 2933423948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214036224).

2933423948 is an abundant number, since it is smaller than the sum of its proper divisors (3494648500).

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

2933423948 is a wasteful number, since it uses less digits than its factorization.

2933423948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 701 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 47.

The square root of 2933423948 is about 54161.0925665279. The cubic root of 2933423948 is about 1431.5008527135.

The spelling of 2933423948 in words is "two billion, nine hundred thirty-three million, four hundred twenty-three thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 97 182 194 251 331 364 388 502 662 679 1004 1261 1324 1358 1757 2317 2522 2716 3263 3514 4303 4634 5044 6526 7028 8606 8827 9268 13052 17212 17654 22841 24347 30121 32107 35308 45682 48694 60242 64214 83081 91364 97388 120484 128428 166162 170429 224749 316511 332324 340858 417391 449498 581567 633022 681716 834782 898996 1080053 1163134 1266044 1669564 2160106 2215577 2326268 2921737 4320212 4431154 5843474 7560371 8058857 8862308 11686948 15120742 16117714 30241484 32235428 56411999 104765141 112823998 209530282 225647996 419060564 733355987 1466711974 2933423948