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4087272192 = 28317378461
BaseRepresentation
bin1111001110011110…
…1101001100000000
3101112211220221101120
43303213231030000
531332320202232
61513324232240
7203200145313
oct36347551400
911484827346
104087272192
111808182103
1296099b680
13501a29b73
142aab9097a
1518dc6392c
hexf39ed300

4087272192 has 144 divisors (see below), whose sum is σ = 11830688352. Its totient is φ = 1247477760.

The previous prime is 4087272173. The next prime is 4087272227. The reversal of 4087272192 is 2912727804.

4087272192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 478842 + ... + 487302.

It is an arithmetic number, because the mean of its divisors is an integer number (82157558).

Almost surely, 24087272192 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 4087272192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5915344176).

4087272192 is an abundant number, since it is smaller than the sum of its proper divisors (7743416160).

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

4087272192 is a wasteful number, since it uses less digits than its factorization.

4087272192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8534 (or 8520 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 4087272192 is about 63931.7776383545. Note that the first 3 decimals coincide. The cubic root of 4087272192 is about 1598.8627585343.

Adding to 4087272192 its reverse (2912727804), we get a palindrome (6999999996).

The spelling of 4087272192 in words is "four billion, eighty-seven million, two hundred seventy-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 96 102 111 128 136 148 192 204 222 256 272 296 384 408 444 544 592 629 768 816 888 1088 1184 1258 1632 1776 1887 2176 2368 2516 3264 3552 3774 4352 4736 5032 6528 7104 7548 8461 9472 10064 13056 14208 15096 16922 20128 25383 28416 30192 33844 40256 50766 60384 67688 80512 101532 120768 135376 143837 161024 203064 241536 270752 287674 313057 406128 431511 483072 541504 575348 626114 812256 863022 939171 1083008 1150696 1252228 1624512 1726044 1878342 2166016 2301392 2504456 3249024 3452088 3756684 4602784 5008912 5321969 6498048 6904176 7513368 9205568 10017824 10643938 13808352 15026736 15965907 18411136 20035648 21287876 27616704 30053472 31931814 36822272 40071296 42575752 55233408 60106944 63863628 80142592 85151504 110466816 120213888 127727256 170303008 240427776 255454512 340606016 510909024 681212032 1021818048 1362424064 2043636096 4087272192