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4047253740 = 2232543796619
BaseRepresentation
bin1111000100111100…
…0011000011101100
3101110001121210101200
43301033003003230
531242044104430
61505334405500
7202203042405
oct36117030354
911401553350
104047253740
111797629702
1294b500890
134c6657aca
142a57349ac
1518a4ab460
hexf13c30ec

4047253740 has 144 divisors (see below), whose sum is σ = 12723110400. Its totient is φ = 1040667264.

The previous prime is 4047253723. The next prime is 4047253751. The reversal of 4047253740 is 473527404.

4047253740 is a `hidden beast` number, since 40 + 47 + 2 + 537 + 40 = 666.

4047253740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4047253695 and 4047253704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 608151 + ... + 614769.

Almost surely, 24047253740 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 4047253740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361555200).

4047253740 is an abundant number, since it is smaller than the sum of its proper divisors (8675856660).

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

4047253740 is a wasteful number, since it uses less digits than its factorization.

4047253740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6756 (or 6751 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 36.

The square root of 4047253740 is about 63618.0299915048. The cubic root of 4047253740 is about 1593.6274838231.

The spelling of 4047253740 in words is "four billion, forty-seven million, two hundred fifty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 79 86 90 129 158 172 180 215 237 258 316 387 395 430 474 516 645 711 774 790 860 948 1185 1290 1422 1548 1580 1935 2370 2580 2844 3397 3555 3870 4740 6619 6794 7110 7740 10191 13238 13588 14220 16985 19857 20382 26476 30573 33095 33970 39714 40764 50955 59571 61146 66190 67940 79428 99285 101910 119142 122292 132380 152865 198570 203820 238284 284617 297855 305730 397140 522901 569234 595710 611460 853851 1045802 1138468 1191420 1423085 1568703 1707702 2091604 2561553 2614505 2846170 3137406 3415404 4269255 4706109 5123106 5229010 5692340 6274812 7843515 8538510 9412218 10246212 10458020 12807765 15687030 17077020 18824436 22484743 23530545 25615530 31374060 44969486 47061090 51231060 67454229 89938972 94122180 112423715 134908458 202362687 224847430 269816916 337271145 404725374 449694860 674542290 809450748 1011813435 1349084580 2023626870 4047253740