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1398521376 = 2535725693
BaseRepresentation
bin101001101011011…
…1011111000100000
310121110120020200000
41103112323320200
510331010141001
6350435100000
746441143540
oct12326737040
93543506600
101398521376
1165847989a
12330441600
13193981755
14d3a49320
1582ba1a86
hex535bbe20

1398521376 has 144 divisors (see below), whose sum is σ = 4713718464. Its totient is φ = 399561984.

The previous prime is 1398521363. The next prime is 1398521389. The reversal of 1398521376 is 6731258931.

1398521376 is a `hidden beast` number, since 1 + 3 + 98 + 521 + 37 + 6 = 666.

1398521376 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1398521363) and next prime (1398521389).

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41586 + ... + 67278.

It is an arithmetic number, because the mean of its divisors is an integer number (32734156).

Almost surely, 21398521376 is an apocalyptic number.

1398521376 is a gapful number since it is divisible by the number (16) 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 1398521376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356859232).

1398521376 is an abundant number, since it is smaller than the sum of its proper divisors (3315197088).

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

1398521376 is an equidigital number, since it uses as much as digits as its factorization.

1398521376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25725 (or 25705 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 1398521376 is about 37396.8097035028. The cubic root of 1398521376 is about 1118.2949651769.

The spelling of 1398521376 in words is "one billion, three hundred ninety-eight million, five hundred twenty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 25693 27216 51386 54432 77079 102772 154158 179851 205544 231237 308316 359702 411088 462474 539553 616632 693711 719404 822176 924948 1079106 1233264 1387422 1438808 1618659 1849896 2081133 2158212 2466528 2774844 2877616 3237318 3699792 4162266 4316424 4855977 5549688 5755232 6243399 6474636 7399584 8324532 8632848 9711954 11099376 12486798 12949272 14567931 16649064 17265696 19423908 22198752 24973596 25898544 29135862 33298128 38847816 43703793 49947192 51797088 58271724 66596256 77695632 87407586 99894384 116543448 155391264 174815172 199788768 233086896 349630344 466173792 699260688 1398521376