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4079933928 = 2333712721247
BaseRepresentation
bin1111001100101110…
…1101100111101000
3101112100010010012000
43303023231213220
531323430341203
61512503051000
7203050603050
oct36313554750
911470103160
104079933928
11180401a824
1295a440a60
1350035a9b5
142a9c00560
1518d2b44a3
hexf32ed9e8

4079933928 has 128 divisors (see below), whose sum is σ = 13054771200. Its totient is φ = 1156462272.

The previous prime is 4079933899. The next prime is 4079933939. The reversal of 4079933928 is 8293399704.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 181401 + ... + 202647.

It is an arithmetic number, because the mean of its divisors is an integer number (101990400).

Almost surely, 24079933928 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 4079933928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6527385600).

4079933928 is an abundant number, since it is smaller than the sum of its proper divisors (8974837272).

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

4079933928 is a wasteful number, since it uses less digits than its factorization.

4079933928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21396 (or 21386 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 4079933928 is about 63874.3604899493. The cubic root of 4079933928 is about 1597.9053224421.

The spelling of 4079933928 in words is "four billion, seventy-nine million, nine hundred thirty-three thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 127 168 189 216 252 254 378 381 504 508 756 762 889 1016 1143 1512 1524 1778 2286 2667 3048 3429 3556 4572 5334 6858 7112 8001 9144 10668 13716 16002 21247 21336 24003 27432 32004 42494 48006 63741 64008 84988 96012 127482 148729 169976 191223 192024 254964 297458 382446 446187 509928 573669 594916 764892 892374 1147338 1189832 1338561 1529784 1784748 2294676 2677122 2698369 3569496 4015683 4589352 5354244 5396738 8031366 8095107 10708488 10793476 16062732 16190214 18888583 21586952 24285321 32125464 32380428 37777166 48570642 56665749 64760856 72855963 75554332 97141284 113331498 145711926 151108664 169997247 194282568 226662996 291423852 339994494 453325992 509991741 582847704 679988988 1019983482 1359977976 2039966964 4079933928