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3878475552 = 253275336299
BaseRepresentation
bin1110011100101100…
…1101011100100000
3101000022000222020200
43213023031130200
530420342204202
61440505105200
7165053332620
oct34713153440
911008028220
103878475552
1117103310a6
12902a88200
1349a6b2963
1428b15c880
1517a76ce1c
hexe72cd720

3878475552 has 144 divisors (see below), whose sum is σ = 12843230400. Its totient is φ = 1087197696.

The previous prime is 3878475493. The next prime is 3878475569. The reversal of 3878475552 is 2555748783.

3878475552 is a `hidden beast` number, since 3 + 8 + 7 + 84 + 7 + 5 + 552 = 666.

3878475552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88699 + ... + 124997.

It is an arithmetic number, because the mean of its divisors is an integer number (89189100).

Almost surely, 23878475552 is an apocalyptic number.

3878475552 is a gapful number since it is divisible by the number (32) 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 3878475552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6421615200).

3878475552 is an abundant number, since it is smaller than the sum of its proper divisors (8964754848).

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

3878475552 is a wasteful number, since it uses less digits than its factorization.

3878475552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36375 (or 36364 counting only the distinct ones).

The product of its digits is 9408000, while the sum is 54.

The square root of 3878475552 is about 62277.4080385496. The cubic root of 3878475552 is about 1571.1597786364.

The spelling of 3878475552 in words is "three billion, eight hundred seventy-eight million, four hundred seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 53 56 63 72 84 96 106 112 126 144 159 168 212 224 252 288 318 336 371 424 477 504 636 672 742 848 954 1008 1113 1272 1484 1696 1908 2016 2226 2544 2968 3339 3816 4452 5088 5936 6678 7632 8904 11872 13356 15264 17808 26712 35616 36299 53424 72598 106848 108897 145196 217794 254093 290392 326691 435588 508186 580784 653382 762279 871176 1016372 1161568 1306764 1524558 1742352 1923847 2032744 2286837 2613528 3049116 3484704 3847694 4065488 4573674 5227056 5771541 6098232 7695388 8130976 9147348 10454112 11543082 12196464 13466929 15390776 17314623 18294696 23086164 24392928 26933858 30781552 34629246 36589392 40400787 46172328 53867716 61563104 69258492 73178784 80801574 92344656 107735432 121202361 138516984 161603148 184689312 215470864 242404722 277033968 323206296 430941728 484809444 554067936 646412592 969618888 1292825184 1939237776 3878475552