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1493457792 = 27317322481
BaseRepresentation
bin101100100000100…
…0101101110000000
310212002012111221120
41121001011232000
511024311122132
6404105552240
752003116231
oct13101055600
93762174846
101493457792
116a7021a42
123581a5680
131aa541548
141024bd088
158b1a602c
hex59045b80

1493457792 has 64 divisors (see below), whose sum is σ = 3990105360. Its totient is φ = 494919680.

The previous prime is 1493457733. The next prime is 1493457793. The reversal of 1493457792 is 2977543941.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1493457793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55192 + ... + 77672.

Almost surely, 21493457792 is an apocalyptic number.

1493457792 is a gapful number since it is divisible by the number (12) 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 1493457792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1995052680).

1493457792 is an abundant number, since it is smaller than the sum of its proper divisors (2496647568).

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

1493457792 is a wasteful number, since it uses less digits than its factorization.

1493457792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22671 (or 22659 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 51.

The square root of 1493457792 is about 38645.2816266100. The cubic root of 1493457792 is about 1143.0476041619.

The spelling of 1493457792 in words is "one billion, four hundred ninety-three million, four hundred fifty-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 173 192 346 384 519 692 1038 1384 2076 2768 4152 5536 8304 11072 16608 22144 22481 33216 44962 66432 67443 89924 134886 179848 269772 359696 539544 719392 1079088 1438784 2158176 2877568 3889213 4316352 7778426 8632704 11667639 15556852 23335278 31113704 46670556 62227408 93341112 124454816 186682224 248909632 373364448 497819264 746728896 1493457792