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4374289248 = 253747138497
BaseRepresentation
bin1000001001011101…
…00101101101100000
3102021211222220202220
410010232211231200
532424304223443
62002020111040
7213253562610
oct40456455540
912254886686
104374289248
11194519928a
12a20b35480
13549330444
142d6d44a40
151a905aa83
hex104ba5b60

4374289248 has 96 divisors (see below), whose sum is σ = 13402174464. Its totient is φ = 1223196672.

The previous prime is 4374289237. The next prime is 4374289279. The reversal of 4374289248 is 8429824734.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 4374289248.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37665 + ... + 100832.

It is an arithmetic number, because the mean of its divisors is an integer number (139605984).

Almost surely, 24374289248 is an apocalyptic number.

4374289248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4374289248 is an abundant number, since it is smaller than the sum of its proper divisors (9027885216).

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

4374289248 is a wasteful number, since it uses less digits than its factorization.

4374289248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138564 (or 138556 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 51.

The square root of 4374289248 is about 66138.4097782824. The cubic root of 4374289248 is about 1635.4445820340. Note that the first 3 decimals are identical.

The spelling of 4374289248 in words is "four billion, three hundred seventy-four million, two hundred eighty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 84 94 96 112 141 168 188 224 282 329 336 376 564 658 672 752 987 1128 1316 1504 1974 2256 2632 3948 4512 5264 7896 10528 15792 31584 138497 276994 415491 553988 830982 969479 1107976 1661964 1938958 2215952 2908437 3323928 3877916 4431904 5816874 6509359 6647856 7755832 11633748 13018718 13295712 15511664 19528077 23267496 26037436 31023328 39056154 45565513 46534992 52074872 78112308 91131026 93069984 104149744 136696539 156224616 182262052 208299488 273393078 312449232 364524104 546786156 624898464 729048208 1093572312 1458096416 2187144624 4374289248