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2948463104 = 29233767101
BaseRepresentation
bin1010111110111101…
…1111101000000000
321121111001110000012
42233233133220000
522014301304404
61204323444052
7133031344226
oct25757375000
97544043005
102948463104
11128336aa74
126a3526628
1337cb0b732
141dd82cb16
15123cb3a6e
hexafbdfa00

2948463104 has 160 divisors (see below), whose sum is σ = 6471121536. Its totient is φ = 1338163200.

The previous prime is 2948463101. The next prime is 2948463143. The reversal of 2948463104 is 4013648492.

It is not an unprimeable number, because it can be changed into a prime (2948463101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29192654 + ... + 29192754.

Almost surely, 22948463104 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 2948463104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235560768).

2948463104 is an abundant number, since it is smaller than the sum of its proper divisors (3522658432).

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

2948463104 is a wasteful number, since it uses less digits than its factorization.

2948463104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 2948463104 is about 54299.7523382934. The cubic root of 2948463104 is about 1433.9430361346.

The spelling of 2948463104 in words is "two billion, nine hundred forty-eight million, four hundred sixty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 23 32 37 46 64 67 74 92 101 128 134 148 184 202 256 268 296 368 404 512 536 592 736 808 851 1072 1184 1472 1541 1616 1702 2144 2323 2368 2479 2944 3082 3232 3404 3737 4288 4646 4736 4958 5888 6164 6464 6767 6808 7474 8576 9292 9472 9916 11776 12328 12928 13534 13616 14948 17152 18584 18944 19832 24656 25856 27068 27232 29896 34304 37168 39664 49312 51712 54136 54464 57017 59792 74336 79328 85951 98624 108272 108928 114034 119584 148672 155641 158656 171902 197248 216544 217856 228068 239168 250379 297344 311282 317312 343804 394496 433088 435712 456136 478336 500758 594688 622564 634624 687608 788992 866176 912272 956672 1001516 1189376 1245128 1269248 1375216 1732352 1824544 1913344 2003032 2490256 2750432 3464704 3649088 4006064 4980512 5500864 5758717 7298176 8012128 9961024 11001728 11517434 14596352 16024256 19922048 22003456 23034868 29192704 32048512 39844096 44006912 46069736 64097024 79688192 92139472 128194048 184278944 368557888 737115776 1474231552 2948463104