Search a number
-
+
4372160928 = 253971273697
BaseRepresentation
bin1000001001001100…
…11110000110100000
3102021200222210021020
410010212132012200
532423233122203
62001502325440
7213226516602
oct40446360640
912250883236
104372160928
111943a75243
12a20289880
13548a66795
142d694d172
151a8c8a153
hex10499e1a0

4372160928 has 96 divisors (see below), whose sum is σ = 11689703424. Its totient is φ = 1430618112.

The previous prime is 4372160879. The next prime is 4372160951. The reversal of 4372160928 is 8290612734.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4372160928.

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, 1180776 + ... + 1184472.

It is an arithmetic number, because the mean of its divisors is an integer number (121767744).

Almost surely, 24372160928 is an apocalyptic number.

4372160928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4372160928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5844851712).

4372160928 is an abundant number, since it is smaller than the sum of its proper divisors (7317542496).

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

4372160928 is a wasteful number, since it uses less digits than its factorization.

4372160928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3934 (or 3926 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 4372160928 is about 66122.3179267031. The cubic root of 4372160928 is about 1635.1792959581.

The spelling of 4372160928 in words is "four billion, three hundred seventy-two million, one hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 127 194 254 291 381 388 508 582 762 776 1016 1164 1524 1552 2032 2328 3048 3104 3697 4064 4656 6096 7394 9312 11091 12192 12319 14788 22182 24638 29576 36957 44364 49276 59152 73914 88728 98552 118304 147828 177456 197104 295656 354912 358609 394208 469519 591312 717218 939038 1075827 1182624 1408557 1434436 1878076 2151654 2817114 2868872 3756152 4303308 5634228 5737744 7512304 8606616 11268456 11475488 15024608 17213232 22536912 34426464 45073824 45543343 91086686 136630029 182173372 273260058 364346744 546520116 728693488 1093040232 1457386976 2186080464 4372160928