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3785031640 = 23513171034157
BaseRepresentation
bin1110000110011010…
…1111111111011000
3100202210012112022001
43201212233333120
530222432003030
61423330210344
7162540144445
oct34146577730
910683175261
103785031640
111672608325
128977239b4
134842262c0
1427c9969cc
15172460cca
hexe19affd8

3785031640 has 128 divisors (see below), whose sum is σ = 9807557760. Its totient is φ = 1302257664.

The previous prime is 3785031617. The next prime is 3785031703. The reversal of 3785031640 is 461305873.

It is a self number, because there is not a number n which added to its sum of digits gives 3785031640.

It is a congruent number.

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, 908442 + ... + 912598.

It is an arithmetic number, because the mean of its divisors is an integer number (76621545).

Almost surely, 23785031640 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 3785031640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4903778880).

3785031640 is an abundant number, since it is smaller than the sum of its proper divisors (6022526120).

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

3785031640 is a wasteful number, since it uses less digits than its factorization.

3785031640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4301 (or 4297 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 3785031640 is about 61522.6108028585. The cubic root of 3785031640 is about 1558.4391082526.

The spelling of 3785031640 in words is "three billion, seven hundred eighty-five million, thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 103 104 130 136 170 206 221 260 340 412 442 515 520 680 824 884 1030 1105 1339 1751 1768 2060 2210 2678 3502 4120 4157 4420 5356 6695 7004 8314 8755 8840 10712 13390 14008 16628 17510 20785 22763 26780 33256 35020 41570 45526 53560 54041 70040 70669 83140 91052 108082 113815 141338 166280 182104 216164 227630 270205 282676 353345 428171 432328 455260 540410 565352 706690 856342 910520 918697 1080820 1413380 1712684 1837394 2140855 2161640 2826760 3425368 3674788 4281710 4593485 5566223 7278907 7349576 8563420 9186970 11132446 14557814 17126840 18373940 22264892 27831115 29115628 36394535 36747880 44529784 55662230 58231256 72789070 94625791 111324460 145578140 189251582 222648920 291156280 378503164 473128955 757006328 946257910 1892515820 3785031640