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1493819392 = 21313383
BaseRepresentation
bin101100100001001…
…1110000000000000
310212002212212222011
41121002132000000
511024404210032
6404121422304
752006153402
oct13102360000
93762785864
101493819392
116a724968a
1235833a994
131aa63a000
14102574b72
158b228247
hex5909e000

1493819392 has 112 divisors (see below), whose sum is σ = 3275289360. Its totient is φ = 681148416.

The previous prime is 1493819381. The next prime is 1493819401. The reversal of 1493819392 is 2939183941.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 17997783 + ... + 17997865.

It is an arithmetic number, because the mean of its divisors is an integer number (29243655).

Almost surely, 21493819392 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 1493819392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637644680).

1493819392 is an abundant number, since it is smaller than the sum of its proper divisors (1781469968).

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

1493819392 is an frugal number, since it uses more digits than its factorization.

1493819392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 98 counting only the distinct ones).

The product of its digits is 419904, while the sum is 49.

The square root of 1493819392 is about 38649.9597929933. The cubic root of 1493819392 is about 1143.1398492998.

The spelling of 1493819392 in words is "one billion, four hundred ninety-three million, eight hundred nineteen thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 104 128 166 169 208 256 332 338 416 512 664 676 832 1024 1079 1328 1352 1664 2048 2158 2197 2656 2704 3328 4096 4316 4394 5312 5408 6656 8192 8632 8788 10624 10816 13312 14027 17264 17576 21248 21632 26624 28054 34528 35152 42496 43264 53248 56108 69056 70304 84992 86528 106496 112216 138112 140608 169984 173056 182351 224432 276224 281216 339968 346112 364702 448864 552448 562432 679936 692224 729404 897728 1104896 1124864 1384448 1458808 1795456 2209792 2249728 2917616 3590912 4419584 4499456 5835232 7181824 8839168 8998912 11670464 14363648 17997824 23340928 28727296 46681856 57454592 93363712 114909184 186727424 373454848 746909696 1493819392