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3812480 = 27572337
BaseRepresentation
bin1110100010110010000000
321011200201222
432202302000
51433444410
6213414212
744256050
oct16426200
97150658
103812480
112174411
12133a368
13a36409
14713560
15504955
hex3a2c80

3812480 has 128 divisors (see below), whose sum is σ = 11162880. Its totient is φ = 1216512.

The previous prime is 3812477. The next prime is 3812513. The reversal of 3812480 is 842183.

It is a tau number, because it is divible by the number of its divisors (128).

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, 103022 + ... + 103058.

It is an arithmetic number, because the mean of its divisors is an integer number (87210).

Almost surely, 23812480 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 3812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5581440).

3812480 is an abundant number, since it is smaller than the sum of its proper divisors (7350400).

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

3812480 is a wasteful number, since it uses less digits than its factorization.

3812480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 3812480 is about 1952.5572974947. The cubic root of 3812480 is about 156.2197210661.

The spelling of 3812480 in words is "three million, eight hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 37 40 46 56 64 70 74 80 92 112 115 128 140 148 160 161 184 185 224 230 259 280 296 320 322 368 370 448 460 518 560 592 640 644 736 740 805 851 896 920 1036 1120 1184 1288 1295 1472 1480 1610 1702 1840 2072 2240 2368 2576 2590 2944 2960 3220 3404 3680 4144 4255 4480 4736 5152 5180 5920 5957 6440 6808 7360 8288 8510 10304 10360 11840 11914 12880 13616 14720 16576 17020 20608 20720 23680 23828 25760 27232 29785 33152 34040 41440 47656 51520 54464 59570 68080 82880 95312 103040 108928 119140 136160 165760 190624 238280 272320 381248 476560 544640 762496 953120 1906240 3812480