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3877580640 = 253527772909
BaseRepresentation
bin1110011100011111…
…0010111101100000
3101000020100111122210
43213013302331200
530420130040030
61440434002120
7165042614553
oct34707627540
911006314583
103877580640
11170a87a7aa
12902716340
1349a45b51b
1428ada869a
1517a642bb0
hexe71f2f60

3877580640 has 96 divisors (see below), whose sum is σ = 12222977760. Its totient is φ = 1033293824.

The previous prime is 3877580561. The next prime is 3877580669. The reversal of 3877580640 is 460857783.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3877580640.

It is a congruent number.

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, 1331506 + ... + 1334414.

It is an arithmetic number, because the mean of its divisors is an integer number (127322685).

Almost surely, 23877580640 is an apocalyptic number.

3877580640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3877580640 is an abundant number, since it is smaller than the sum of its proper divisors (8345397120).

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

3877580640 is a wasteful number, since it uses less digits than its factorization.

3877580640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5704 (or 5696 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 3877580640 is about 62270.2227392837. Note that the first 3 decimals coincide. The cubic root of 3877580640 is about 1571.0389272110.

The spelling of 3877580640 in words is "three billion, eight hundred seventy-seven million, five hundred eighty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 2777 2909 5554 5818 8331 8727 11108 11636 13885 14545 16662 17454 22216 23272 27770 29090 33324 34908 41655 43635 44432 46544 55540 58180 66648 69816 83310 87270 88864 93088 111080 116360 133296 139632 166620 174540 222160 232720 266592 279264 333240 349080 444320 465440 666480 698160 1332960 1396320 8078293 16156586 24234879 32313172 40391465 48469758 64626344 80782930 96939516 121174395 129252688 161565860 193879032 242348790 258505376 323131720 387758064 484697580 646263440 775516128 969395160 1292526880 1938790320 3877580640