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4023396192 = 253712772131
BaseRepresentation
bin1110111111010000…
…0010011101100000
3101101101201200222210
43233310002131200
531214442134232
61503123202120
7201463206024
oct35764023540
911341650883
104023396192
111785114122
12943516340
134c172390a
142a24c4384
151883475cc
hexefd02760

4023396192 has 96 divisors (see below), whose sum is σ = 10753876224. Its totient is φ = 1316851200.

The previous prime is 4023396173. The next prime is 4023396271. The reversal of 4023396192 is 2916933204.

4023396192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 4023396192.

It is a congruent number.

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, 1886967 + ... + 1889097.

It is an arithmetic number, because the mean of its divisors is an integer number (112019544).

Almost surely, 24023396192 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 4023396192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5376938112).

4023396192 is an abundant number, since it is smaller than the sum of its proper divisors (6730480032).

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

4023396192 is a wasteful number, since it uses less digits than its factorization.

4023396192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2492 (or 2484 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 4023396192 is about 63430.2466651360. The cubic root of 4023396192 is about 1590.4899656878.

The spelling of 4023396192 in words is "four billion, twenty-three million, three hundred ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 277 284 426 554 568 831 852 1108 1136 1662 1704 2131 2216 2272 3324 3408 4262 4432 6393 6648 6816 8524 8864 12786 13296 17048 19667 25572 26592 34096 39334 51144 59001 68192 78668 102288 118002 151301 157336 204576 236004 302602 314672 453903 472008 590287 605204 629344 907806 944016 1180574 1210408 1770861 1815612 1888032 2361148 2420816 3541722 3631224 4722296 4841632 7083444 7262448 9444592 14166888 14524896 18889184 28333776 41910377 56667552 83820754 125731131 167641508 251462262 335283016 502924524 670566032 1005849048 1341132064 2011698096 4023396192