Search a number
-
+
39275136 = 2732103331
BaseRepresentation
bin1001010111010…
…0101010000000
32201220101100200
42111310222000
540023301021
63521445200
7654555525
oct225645200
981811320
1039275136
1120195a9a
12111a0800
1381a1934
14530514c
1536ac126
hex2574a80

39275136 has 96 divisors (see below), whose sum is σ = 114460320. Its totient is φ = 12925440.

The previous prime is 39275129. The next prime is 39275161. The reversal of 39275136 is 63157293.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 39275136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 118491 + ... + 118821.

It is an arithmetic number, because the mean of its divisors is an integer number (1192295).

Almost surely, 239275136 is an apocalyptic number.

39275136 is a gapful number since it is divisible by the number (36) 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 39275136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57230160).

39275136 is an abundant number, since it is smaller than the sum of its proper divisors (75185184).

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

39275136 is a wasteful number, since it uses less digits than its factorization.

39275136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 439 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 39275136 is about 6266.9877931906. The cubic root of 39275136 is about 339.9167500906.

The spelling of 39275136 in words is "thirty-nine million, two hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 192 206 288 309 331 384 412 576 618 662 824 927 993 1152 1236 1324 1648 1854 1986 2472 2648 2979 3296 3708 3972 4944 5296 5958 6592 7416 7944 9888 10592 11916 13184 14832 15888 19776 21184 23832 29664 31776 34093 39552 42368 47664 59328 63552 68186 95328 102279 118656 127104 136372 190656 204558 272744 306837 381312 409116 545488 613674 818232 1090976 1227348 1636464 2181952 2454696 3272928 4363904 4909392 6545856 9818784 13091712 19637568 39275136