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2428951392 = 253279712421
BaseRepresentation
bin1001000011000110…
…1101101101100000
320021021111111220200
42100301231231200
514433302421032
61041004505200
7114122513640
oct22061555540
96237444820
102428951392
11103709714a
1257954b200
132c92b455a
14190838520
15e339447c
hex90c6db60

2428951392 has 144 divisors (see below), whose sum is σ = 7976116512. Its totient is φ = 686776320.

The previous prime is 2428951387. The next prime is 2428951433. The reversal of 2428951392 is 2931598242.

2428951392 is a `hidden beast` number, since 2 + 42 + 8 + 9 + 513 + 92 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189342 + ... + 201762.

It is an arithmetic number, because the mean of its divisors is an integer number (55389698).

Almost surely, 22428951392 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 2428951392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3988058256).

2428951392 is an abundant number, since it is smaller than the sum of its proper divisors (5547165120).

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

2428951392 is a wasteful number, since it uses less digits than its factorization.

2428951392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12541 (or 12530 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2428951392 is about 49284.3929860154. The cubic root of 2428951392 is about 1344.2280119104.

The spelling of 2428951392 in words is "two billion, four hundred twenty-eight million, nine hundred fifty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 97 112 126 144 168 194 224 252 288 291 336 388 504 582 672 679 776 873 1008 1164 1358 1552 1746 2016 2037 2328 2716 3104 3492 4074 4656 5432 6111 6984 8148 9312 10864 12222 12421 13968 16296 21728 24444 24842 27936 32592 37263 48888 49684 65184 74526 86947 97776 99368 111789 149052 173894 195552 198736 223578 260841 298104 347788 397472 447156 521682 596208 695576 782523 894312 1043364 1192416 1204837 1391152 1565046 1788624 2086728 2409674 2782304 3130092 3577248 3614511 4173456 4819348 6260184 7229022 8346912 8433859 9638696 10843533 12520368 14458044 16867718 19277392 21687066 25040736 25301577 28916088 33735436 38554784 43374132 50603154 57832176 67470872 75904731 86748264 101206308 115664352 134941744 151809462 173496528 202412616 269883488 303618924 346993056 404825232 607237848 809650464 1214475696 2428951392