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3755427140 = 22519711091277
BaseRepresentation
bin1101111111010111…
…0100010101000100
3100200201111110120002
43133311310111010
530142342132030
61420351500432
7162030414113
oct33765642504
910621443502
103755427140
111657927aa3
12889827718
1347b05c34a
14278a8bc7a
1516ea64245
hexdfd74544

3755427140 has 96 divisors (see below), whose sum is σ = 8502278400. Its totient is φ = 1389104640.

The previous prime is 3755427101. The next prime is 3755427157. The reversal of 3755427140 is 417245573.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 3755427094 and 3755427103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2940182 + ... + 2941458.

It is an arithmetic number, because the mean of its divisors is an integer number (88565400).

Almost surely, 23755427140 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 3755427140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4251139200).

3755427140 is an abundant number, since it is smaller than the sum of its proper divisors (4746851260).

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

3755427140 is a wasteful number, since it uses less digits than its factorization.

3755427140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1485 (or 1483 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 38.

The square root of 3755427140 is about 61281.5399610682. The cubic root of 3755427140 is about 1554.3653755214.

The spelling of 3755427140 in words is "three billion, seven hundred fifty-five million, four hundred twenty-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 71 76 95 109 142 190 218 284 355 380 436 545 710 1090 1277 1349 1420 2071 2180 2554 2698 4142 5108 5396 6385 6745 7739 8284 10355 12770 13490 15478 20710 24263 25540 26980 30956 38695 41420 48526 77390 90667 97052 121315 139193 147041 154780 181334 242630 278386 294082 362668 453335 485260 556772 588164 695965 735205 906670 1391930 1470410 1722673 1813340 2644667 2783860 2940820 3445346 5289334 6890692 8613365 9882703 10578668 13223335 17226730 19765406 26446670 34453460 39530812 49413515 52893340 98827030 187771357 197654060 375542714 751085428 938856785 1877713570 3755427140