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2492245296 = 2432101349491
BaseRepresentation
bin1001010010001100…
…1010010100110000
320102200121011211100
42110203022110300
520101003322141
61051145244400
7115521510162
oct22443122460
96380534740
102492245296
111069897862
12596793700
13309445878
14198dd2932
15e8be80b6
hex948ca530

2492245296 has 120 divisors (see below), whose sum is σ = 7078453200. Its totient is φ = 818496000.

The previous prime is 2492245277. The next prime is 2492245303. The reversal of 2492245296 is 6925422942.

2492245296 is a `hidden beast` number, since 2 + 492 + 24 + 52 + 96 = 666.

It is a super-2 number, since 2×24922452962 = 12422573230868255232, which contains 22 as substring.

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, 5075611 + ... + 5076101.

It is an arithmetic number, because the mean of its divisors is an integer number (58987110).

Almost surely, 22492245296 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 2492245296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3539226600).

2492245296 is an abundant number, since it is smaller than the sum of its proper divisors (4586207904).

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

2492245296 is a wasteful number, since it uses less digits than its factorization.

2492245296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 955 (or 946 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 2492245296 is about 49922.3927311182. The cubic root of 2492245296 is about 1355.8040544914.

The spelling of 2492245296 in words is "two billion, four hundred ninety-two million, two hundred forty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 349 404 491 606 698 808 909 982 1047 1212 1396 1473 1616 1818 1964 2094 2424 2792 2946 3141 3636 3928 4188 4419 4848 5584 5892 6282 7272 7856 8376 8838 11784 12564 14544 16752 17676 23568 25128 35249 35352 49591 50256 70498 70704 99182 105747 140996 148773 171359 198364 211494 281992 297546 317241 342718 396728 422988 446319 514077 563984 595092 634482 685436 793456 845976 892638 1028154 1190184 1268964 1370872 1542231 1691952 1785276 2056308 2380368 2537928 2741744 3084462 3570552 4112616 5075856 6168924 7141104 8225232 12337848 17307259 24675696 34614518 51921777 69229036 103843554 138458072 155765331 207687108 276916144 311530662 415374216 623061324 830748432 1246122648 2492245296