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2797990464 = 263194716319
BaseRepresentation
bin1010011011000101…
…1111001001000000
321012222220122100110
42212301133021000
521212241143324
61141350351320
7126223345413
oct24661371100
97188818313
102797990464
111206435715
1266105b540
133578a5679
141c785db7a
1511598e329
hexa6c5f240

2797990464 has 112 divisors (see below), whose sum is σ = 7958937600. Its totient is φ = 864723456.

The previous prime is 2797990463. The next prime is 2797990487. The reversal of 2797990464 is 4640997972.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (2797990463) 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, 163297 + ... + 179615.

Almost surely, 22797990464 is an apocalyptic number.

2797990464 is a gapful number since it is divisible by the number (24) 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 2797990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3979468800).

2797990464 is an abundant number, since it is smaller than the sum of its proper divisors (5160947136).

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

2797990464 is a wasteful number, since it uses less digits than its factorization.

2797990464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16400 (or 16390 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 57.

The square root of 2797990464 is about 52896.0344827474. The cubic root of 2797990464 is about 1409.1224799894.

The spelling of 2797990464 in words is "two billion, seven hundred ninety-seven million, nine hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 47 48 57 64 76 94 96 114 141 152 188 192 228 282 304 376 456 564 608 752 893 912 1128 1216 1504 1786 1824 2256 2679 3008 3572 3648 4512 5358 7144 9024 10716 14288 16319 21432 28576 32638 42864 48957 57152 65276 85728 97914 130552 171456 195828 261104 310061 391656 522208 620122 766993 783312 930183 1044416 1240244 1533986 1566624 1860366 2300979 2480488 3067972 3133248 3720732 4601958 4960976 6135944 7441464 9203916 9921952 12271888 14572867 14882928 18407832 19843904 24543776 29145734 29765856 36815664 43718601 49087552 58291468 59531712 73631328 87437202 116582936 147262656 174874404 233165872 349748808 466331744 699497616 932663488 1398995232 2797990464