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3890017640 = 235313538887
BaseRepresentation
bin1110011111011100…
…1111010101101000
3101001002202101000102
43213313033111220
530431321031030
61442000324532
7165253414205
oct34767172550
911032671012
103890017640
1117168a4913
12906913748
1349cbc43b2
1428c8c4cac
1517b79cc45
hexe7dcf568

3890017640 has 64 divisors (see below), whose sum is σ = 9061493760. Its totient is φ = 1501378560.

The previous prime is 3890017619. The next prime is 3890017667. The reversal of 3890017640 is 467100983.

It is a super-2 number, since 2×38900176402 = 30264474479022339200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3890017594 and 3890017603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433277 + ... + 442163.

It is an arithmetic number, because the mean of its divisors is an integer number (141585840).

Almost surely, 23890017640 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 3890017640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530746880).

3890017640 is an abundant number, since it is smaller than the sum of its proper divisors (5171476120).

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

3890017640 is a wasteful number, since it uses less digits than its factorization.

3890017640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9282 (or 9278 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 3890017640 is about 62370.0059323390. The cubic root of 3890017640 is about 1572.7167911684.

The spelling of 3890017640 in words is "three billion, eight hundred ninety million, seventeen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 353 620 706 1240 1412 1765 2824 3530 7060 8887 10943 14120 17774 21886 35548 43772 44435 54715 71096 87544 88870 109430 177740 218860 275497 355480 437720 550994 1101988 1377485 2203976 2754970 3137111 5509940 6274222 11019880 12548444 15685555 25096888 31371110 62742220 97250441 125484440 194500882 389001764 486252205 778003528 972504410 1945008820 3890017640