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1398146048 = 21013127827
BaseRepresentation
bin101001101010110…
…0000010000000000
310121102212011210222
41103111200100000
510330411133143
6350423042212
746435021355
oct12325402000
93542764728
101398146048
11658242902
123302a0368
1319387c970
14d398c62c
1582b2a768
hex53560400

1398146048 has 88 divisors (see below), whose sum is σ = 3037289472. Its totient is φ = 639442944.

The previous prime is 1398146033. The next prime is 1398146081. The reversal of 1398146048 is 8406418931.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1690211 + ... + 1691037.

Almost surely, 21398146048 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 1398146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1518644736).

1398146048 is an abundant number, since it is smaller than the sum of its proper divisors (1639143424).

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

1398146048 is a wasteful number, since it uses less digits than its factorization.

1398146048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The square root of 1398146048 is about 37391.7911846972. The cubic root of 1398146048 is about 1118.1949154688.

The spelling of 1398146048 in words is "one billion, three hundred ninety-eight million, one hundred forty-six thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 208 254 256 416 508 512 827 832 1016 1024 1651 1654 1664 2032 3302 3308 3328 4064 6604 6616 6656 8128 10751 13208 13232 13312 16256 21502 26416 26464 32512 43004 52832 52928 65024 86008 105029 105664 105856 130048 172016 210058 211328 211712 344032 420116 422656 423424 688064 840232 845312 846848 1365377 1376128 1680464 1690624 2730754 2752256 3360928 5461508 5504512 6721856 10923016 11009024 13443712 21846032 26887424 43692064 53774848 87384128 107549696 174768256 349536512 699073024 1398146048