Search a number
-
+
801397536 = 25343832339
BaseRepresentation
bin101111110001000…
…101101100100000
32001211222012202020
4233301011230200
53120124210121
6211304421440
725600523652
oct5761055440
92054865666
10801397536
11381405915
121a4477880
13ca052034
14786106d2
154a5511c6
hex2fc45b20

801397536 has 96 divisors (see below), whose sum is σ = 2179457280. Its totient is φ = 257666304.

The previous prime is 801397507. The next prime is 801397547. The reversal of 801397536 is 635793108.

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

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, 341455 + ... + 343793.

It is an arithmetic number, because the mean of its divisors is an integer number (22702680).

Almost surely, 2801397536 is an apocalyptic number.

801397536 is a gapful number since it is divisible by the number (86) 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 801397536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1089728640).

801397536 is an abundant number, since it is smaller than the sum of its proper divisors (1378059744).

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

801397536 is a wasteful number, since it uses less digits than its factorization.

801397536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 801397536 is about 28308.9656469466. The cubic root of 801397536 is about 928.8580178771.

The spelling of 801397536 in words is "eight hundred one million, three hundred ninety-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 83 86 96 129 166 172 249 258 332 344 498 516 664 688 996 1032 1328 1376 1992 2064 2339 2656 3569 3984 4128 4678 7017 7138 7968 9356 10707 14034 14276 18712 21414 28068 28552 37424 42828 56136 57104 74848 85656 100577 112272 114208 171312 194137 201154 224544 301731 342624 388274 402308 582411 603462 776548 804616 1164822 1206924 1553096 1609232 2329644 2413848 3106192 3218464 4659288 4827696 6212384 8347891 9318576 9655392 16695782 18637152 25043673 33391564 50087346 66783128 100174692 133566256 200349384 267132512 400698768 801397536