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2029473792 = 212352039
BaseRepresentation
bin111100011110111…
…0101000000000000
312020102210221200000
41320331311000000
513124021130132
6533214400000
7101202146133
oct17075650000
95212727600
102029473792
11951648775
12487800000
132645c6988
1415376c21a
15bd28587c
hex78f75000

2029473792 has 156 divisors (see below), whose sum is σ = 6082308960. Its totient is φ = 676159488.

The previous prime is 2029473779. The next prime is 2029473829. The reversal of 2029473792 is 2973749202.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 994309 + ... + 996347.

It is an arithmetic number, because the mean of its divisors is an integer number (38989160).

Almost surely, 22029473792 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 2029473792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041154480).

2029473792 is an abundant number, since it is smaller than the sum of its proper divisors (4052835168).

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

2029473792 is an frugal number, since it uses more digits than its factorization.

2029473792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2044 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 2029473792 is about 45049.6813751218. The cubic root of 2029473792 is about 1266.0800021320.

The spelling of 2029473792 in words is "two billion, twenty-nine million, four hundred seventy-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2039 2048 2304 2592 3072 3456 3888 4078 4096 4608 5184 6117 6144 6912 7776 8156 9216 10368 12234 12288 13824 15552 16312 18351 18432 20736 24468 27648 31104 32624 36702 36864 41472 48936 55053 55296 62208 65248 73404 82944 97872 110106 110592 124416 130496 146808 165159 165888 195744 220212 248832 260992 293616 330318 331776 391488 440424 495477 497664 521984 587232 660636 782976 880848 990954 995328 1043968 1174464 1321272 1565952 1761696 1981908 2087936 2348928 2642544 3131904 3523392 3963816 4175872 4697856 5285088 6263808 7046784 7927632 8351744 9395712 10570176 12527616 14093568 15855264 18791424 21140352 25055232 28187136 31710528 37582848 42280704 56374272 63421056 75165696 84561408 112748544 126842112 169122816 225497088 253684224 338245632 507368448 676491264 1014736896 2029473792