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3857972220 = 2233515234691
BaseRepresentation
bin1110010111110011…
…1111101111111100
3100221212110021222000
43211330333233330
530400120102340
61434453422300
7164414136264
oct34574775774
910855407860
103857972220
1116aa7a76a3
128b803a990
134963843cb
142885427a4
15178a6cd30
hexe5f3fbfc

3857972220 has 96 divisors (see below), whose sum is σ = 12013021440. Its totient is φ = 1027897920.

The previous prime is 3857972213. The next prime is 3857972221. The reversal of 3857972220 is 222797583.

3857972220 is a `hidden beast` number, since 3 + 8 + 579 + 72 + 2 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3857972221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 820075 + ... + 824765.

It is an arithmetic number, because the mean of its divisors is an integer number (125135640).

Almost surely, 23857972220 is an apocalyptic number.

3857972220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3857972220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6006510720).

3857972220 is an abundant number, since it is smaller than the sum of its proper divisors (8155049220).

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

3857972220 is a wasteful number, since it uses less digits than its factorization.

3857972220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6232 (or 6224 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 3857972220 is about 62112.5769872737. The cubic root of 3857972220 is about 1568.3862710850.

The spelling of 3857972220 in words is "three billion, eight hundred fifty-seven million, nine hundred seventy-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1523 3046 4569 4691 6092 7615 9138 9382 13707 14073 15230 18276 18764 22845 23455 27414 28146 30460 41121 42219 45690 46910 54828 56292 68535 70365 82242 84438 91380 93820 126657 137070 140730 164484 168876 205605 211095 253314 274140 281460 411210 422190 506628 633285 822420 844380 1266570 2533140 7144393 14288786 21433179 28577572 35721965 42866358 64299537 71443930 85732716 107165895 128599074 142887860 192898611 214331790 257198148 321497685 385797222 428663580 642995370 771594444 964493055 1285990740 1928986110 3857972220