Search a number
-
+
75472896 = 21333783
BaseRepresentation
bin1000111111110…
…10000000000000
312021000102100110
410133322000000
5123310113041
611253351320
71604336412
oct437720000
9167012313
1075472896
11396699a4
1221338540
1312836925
14a0489b2
15695c516
hex47fa000

75472896 has 112 divisors (see below), whose sum is σ = 209178144. Its totient is φ = 24182784.

The previous prime is 75472861. The next prime is 75472897. The reversal of 75472896 is 69827457.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (75472897) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 909271 + ... + 909353.

It is an arithmetic number, because the mean of its divisors is an integer number (1867662).

Almost surely, 275472896 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 75472896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104589072).

75472896 is an abundant number, since it is smaller than the sum of its proper divisors (133705248).

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

75472896 is an equidigital number, since it uses as much as digits as its factorization.

75472896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 125 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

The square root of 75472896 is about 8687.5137985502. The cubic root of 75472896 is about 422.6008227808.

The spelling of 75472896 in words is "seventy-five million, four hundred seventy-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 83 96 111 128 148 166 192 222 249 256 296 332 384 444 498 512 592 664 768 888 996 1024 1184 1328 1536 1776 1992 2048 2368 2656 3071 3072 3552 3984 4096 4736 5312 6142 6144 7104 7968 8192 9213 9472 10624 12284 12288 14208 15936 18426 18944 21248 24568 24576 28416 31872 36852 37888 42496 49136 56832 63744 73704 75776 84992 98272 113664 127488 147408 151552 169984 196544 227328 254976 294816 303104 339968 393088 454656 509952 589632 679936 786176 909312 1019904 1179264 1572352 2039808 2358528 3144704 4717056 6289408 9434112 12578816 18868224 25157632 37736448 75472896