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7978428192 = 253713190631
BaseRepresentation
bin1110110111000110…
…10010011100100000
3202121000211010221110
413123203102130200
5112314434200232
63355405223320
7401466343410
oct73343223440
922530733843
107978428192
113424684209
121667b61b40
139a1c2c437
14559890640
1531a688acc
hex1db8d2720

7978428192 has 96 divisors (see below), whose sum is σ = 24118262784. Its totient is φ = 2262124800.

The previous prime is 7978428127. The next prime is 7978428197. The reversal of 7978428192 is 2918248797.

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

It is not an unprimeable number, because it can be changed into a prime (7978428197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42717 + ... + 133347.

It is an arithmetic number, because the mean of its divisors is an integer number (251231904).

Almost surely, 27978428192 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 7978428192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12059131392).

7978428192 is an abundant number, since it is smaller than the sum of its proper divisors (16139834592).

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

7978428192 is a wasteful number, since it uses less digits than its factorization.

7978428192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90782 (or 90774 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 57.

The square root of 7978428192 is about 89322.0476254323. The cubic root of 7978428192 is about 1998.2007311345.

The spelling of 7978428192 in words is "seven billion, nine hundred seventy-eight million, four hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 131 168 224 262 336 393 524 672 786 917 1048 1572 1834 2096 2751 3144 3668 4192 5502 6288 7336 11004 12576 14672 22008 29344 44016 88032 90631 181262 271893 362524 543786 634417 725048 1087572 1268834 1450096 1903251 2175144 2537668 2900192 3806502 4350288 5075336 7613004 8700576 10150672 11872661 15226008 20301344 23745322 30452016 35617983 47490644 60904032 71235966 83108627 94981288 142471932 166217254 189962576 249325881 284943864 332434508 379925152 498651762 569887728 664869016 997303524 1139775456 1329738032 1994607048 2659476064 3989214096 7978428192