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3878240544 = 253237363949
BaseRepresentation
bin1110011100101001…
…0100000100100000
3101000021121000212200
43213022110010200
530420312144134
61440500053200
7165051333513
oct34712240440
911007530780
103878240544
111710190582
12902994200
1349a62c9b9
1428b0dad7a
1517a723499
hexe7294120

3878240544 has 72 divisors (see below), whose sum is σ = 11326851900. Its totient is φ = 1257804288.

The previous prime is 3878240543. The next prime is 3878240567. The reversal of 3878240544 is 4450428783.

It is a happy number.

3878240544 is a `hidden beast` number, since 3 + 87 + 8 + 24 + 0 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3797024400 + 81216144 = 61620^2 + 9012^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 3878240544.

It is not an unprimeable number, because it can be changed into a prime (3878240543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171319 + ... + 192630.

Almost surely, 23878240544 is an apocalyptic number.

It is an amenable number.

3878240544 is an abundant number, since it is smaller than the sum of its proper divisors (7448611356).

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

3878240544 is a wasteful number, since it uses less digits than its factorization.

3878240544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364002 (or 363991 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The square root of 3878240544 is about 62275.5212262411. The cubic root of 3878240544 is about 1571.1280442973.

The spelling of 3878240544 in words is "three billion, eight hundred seventy-eight million, two hundred forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 363949 727898 1091847 1455796 2183694 2911592 3275541 4367388 5823184 6551082 8734776 11646368 13102164 13466113 17469552 26204328 26932226 34939104 40398339 52408656 53864452 80796678 104817312 107728904 121195017 161593356 215457808 242390034 323186712 430915616 484780068 646373424 969560136 1292746848 1939120272 3878240544