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4295376 = 243361163
BaseRepresentation
bin10000011000101011010000
322002020011000
4100120223100
52044423001
6232022000
751336651
oct20305320
98066130
104295376
1124741a8
121531900
13b75157
147db528
1559ca86
hex418ad0

4295376 has 80 divisors (see below), whose sum is σ = 12608320. Its totient is φ = 1399680.

The previous prime is 4295371. The next prime is 4295383. The reversal of 4295376 is 6735924.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 43 + 217 + 9 + 59 + 312 + 72 + 68 .

It is a self number, because there is not a number n which added to its sum of digits gives 4295376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4295371) 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, 26271 + ... + 26433.

It is an arithmetic number, because the mean of its divisors is an integer number (157604).

Almost surely, 24295376 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 4295376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6304160).

4295376 is an abundant number, since it is smaller than the sum of its proper divisors (8312944).

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

4295376 is a wasteful number, since it uses less digits than its factorization.

4295376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 229 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 4295376 is about 2072.5288900278. The cubic root of 4295376 is about 162.5550235756. Note that the first 3 decimals are identical.

4295376 divided by its sum of digits (36) gives a triangular number (119316 = T488).

The spelling of 4295376 in words is "four million, two hundred ninety-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 163 183 216 244 326 366 432 488 489 549 652 732 976 978 1098 1304 1464 1467 1647 1956 2196 2608 2928 2934 3294 3912 4392 4401 5868 6588 7824 8784 8802 9943 11736 13176 17604 19886 23472 26352 29829 35208 39772 59658 70416 79544 89487 119316 159088 178974 238632 268461 357948 477264 536922 715896 1073844 1431792 2147688 4295376