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1486138752 = 2734720477
BaseRepresentation
bin101100010010100…
…1010110110000000
310211120102200010000
41120211022312000
511020422420002
6403245040000
751553654020
oct13045126600
93746380100
101486138752
116a298304a
12355856000
131a8b7b057
14101535a80
158a70c61c
hex5894ad80

1486138752 has 160 divisors (see below), whose sum is σ = 5054789520. Its totient is φ = 424590336.

The previous prime is 1486138741. The next prime is 1486138763. The reversal of 1486138752 is 2578316841.

It is an interprime number because it is at equal distance from previous prime (1486138741) and next prime (1486138763).

It is a super-2 number, since 2×14861387522 = 4417216780392235008, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1486138698 and 1486138707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62338 + ... + 82814.

Almost surely, 21486138752 is an apocalyptic number.

1486138752 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 1486138752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2527394760).

1486138752 is an abundant number, since it is smaller than the sum of its proper divisors (3568650768).

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

1486138752 is an equidigital number, since it uses as much as digits as its factorization.

1486138752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20510 (or 20489 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 1486138752 is about 38550.4701916851. The cubic root of 1486138752 is about 1141.1772879411.

The spelling of 1486138752 in words is "one billion, four hundred eighty-six million, one hundred thirty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 20477 24192 36288 40954 61431 72576 81908 122862 143339 163816 184293 245724 286678 327632 368586 430017 491448 552879 573356 655264 737172 860034 982896 1105758 1146712 1290051 1310528 1474344 1658637 1720068 1965792 2211516 2293424 2580102 2621056 2948688 3317274 3440136 3870153 3931584 4423032 4586848 5160204 5897376 6634548 6880272 7740306 7863168 8846064 9173696 10320408 11610459 11794752 13269096 13760544 15480612 17692128 18347392 20640816 23220918 23589504 26538192 27521088 30961224 35384256 41281632 46441836 53076384 55042176 61922448 70768512 82563264 92883672 106152768 123844896 165126528 185767344 212305536 247689792 371534688 495379584 743069376 1486138752