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1098642048 = 27371133617
BaseRepresentation
bin100000101111011…
…1111001010000000
32211120021210120020
41001132333022000
54222223021143
6301003413440
736140206020
oct10136771200
92746253506
101098642048
11514178039
12267b24280
131467c686a
14a5ca7a80
15666b8883
hex417bf280

1098642048 has 128 divisors (see below), whose sum is σ = 3365608320. Its totient is φ = 311033856.

The previous prime is 1098642031. The next prime is 1098642053. The reversal of 1098642048 is 8402468901.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 301936 + ... + 305552.

It is an arithmetic number, because the mean of its divisors is an integer number (26293815).

Almost surely, 21098642048 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 1098642048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682804160).

1098642048 is an abundant number, since it is smaller than the sum of its proper divisors (2266966272).

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

1098642048 is a wasteful number, since it uses less digits than its factorization.

1098642048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3754 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 1098642048 is about 33145.7696848331. The cubic root of 1098642048 is about 1031.8551566444.

The spelling of 1098642048 in words is "one billion, ninety-eight million, six hundred forty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 113 128 168 192 224 226 336 339 384 448 452 672 678 791 896 904 1344 1356 1582 1808 2373 2688 2712 3164 3616 3617 4746 5424 6328 7232 7234 9492 10848 10851 12656 14464 14468 18984 21696 21702 25312 25319 28936 37968 43392 43404 50624 50638 57872 75936 75957 86808 101248 101276 115744 151872 151914 173616 202552 231488 303744 303828 347232 405104 408721 462976 607656 694464 810208 817442 1215312 1226163 1388928 1620416 1634884 2430624 2452326 2861047 3240832 3269768 4861248 4904652 5722094 6539536 8583141 9722496 9809304 11444188 13079072 17166282 19618608 22888376 26158144 34332564 39237216 45776752 52316288 68665128 78474432 91553504 137330256 156948864 183107008 274660512 366214016 549321024 1098642048