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4272376428 = 223553239347
BaseRepresentation
bin1111111010100111…
…0100101001101100
3102000202020012200000
43332221310221230
532222212021203
61543535504300
7210605412645
oct37651645154
912022205600
104272376428
1118a2710711
129b2988090
1353119a0b8
142c75b66cc
151a01294a3
hexfea74a6c

4272376428 has 144 divisors (see below), whose sum is σ = 11491683840. Its totient is φ = 1387399104.

The previous prime is 4272376379. The next prime is 4272376453. The reversal of 4272376428 is 8246732724.

4272376428 is a `hidden beast` number, since 4 + 272 + 376 + 4 + 2 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12312151 + ... + 12312497.

It is an arithmetic number, because the mean of its divisors is an integer number (79803360).

Almost surely, 24272376428 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 4272376428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5745841920).

4272376428 is an abundant number, since it is smaller than the sum of its proper divisors (7219307412).

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

4272376428 is a wasteful number, since it uses less digits than its factorization.

4272376428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658 (or 644 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 4272376428 is about 65363.4181174761. The cubic root of 4272376428 is about 1622.6437080284.

The spelling of 4272376428 in words is "four billion, two hundred seventy-two million, three hundred seventy-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 159 162 212 239 243 318 324 347 477 478 486 636 694 717 954 956 972 1041 1388 1431 1434 1908 2082 2151 2862 2868 3123 4164 4293 4302 5724 6246 6453 8586 8604 9369 12492 12667 12879 12906 17172 18391 18738 19359 25334 25758 25812 28107 36782 37476 38001 38718 50668 51516 55173 56214 58077 73564 76002 77436 82933 84321 110346 112428 114003 116154 152004 165519 165866 168642 220692 228006 232308 248799 331038 331732 337284 342009 456012 496557 497598 662076 684018 746397 993114 995196 1026027 1368036 1489671 1492794 1986228 2052054 2239191 2979342 2985588 3078081 4104108 4395449 4469013 4478382 5958684 6156162 6717573 8790898 8938026 8956764 12312324 13186347 13435146 17581796 17876052 20152719 26372694 26870292 39559041 40305438 52745388 79118082 80610876 118677123 158236164 237354246 356031369 474708492 712062738 1068094107 1424125476 2136188214 4272376428