Search a number
-
+
1491125472 = 253219379719
BaseRepresentation
bin101100011100000…
…1100010011100000
310211220211000121100
41120320030103200
511023212003342
6403543554400
751644233404
oct13070142340
93756730540
101491125472
116a5779701
1235745ba00
131a9c05a85
14102073104
158ad94e4c
hex58e0c4e0

1491125472 has 144 divisors (see below), whose sum is σ = 4481568000. Its totient is φ = 468986112.

The previous prime is 1491125459. The next prime is 1491125473. The reversal of 1491125472 is 2745211941.

1491125472 is a `hidden beast` number, since 1 + 491 + 125 + 47 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1491125473) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2073529 + ... + 2074247.

It is an arithmetic number, because the mean of its divisors is an integer number (31122000).

Almost surely, 21491125472 is an apocalyptic number.

1491125472 is a gapful number since it is divisible by the number (12) 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 1491125472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240784000).

1491125472 is an abundant number, since it is smaller than the sum of its proper divisors (2990442528).

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

1491125472 is a wasteful number, since it uses less digits than its factorization.

1491125472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1122 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 1491125472 is about 38615.0938364780. The cubic root of 1491125472 is about 1142.4522649864.

The spelling of 1491125472 in words is "one billion, four hundred ninety-one million, one hundred twenty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 152 171 228 288 304 342 379 456 608 684 719 758 912 1137 1368 1438 1516 1824 2157 2274 2736 2876 3032 3411 4314 4548 5472 5752 6064 6471 6822 7201 8628 9096 11504 12128 12942 13644 13661 14402 17256 18192 21603 23008 25884 27288 27322 28804 34512 36384 40983 43206 51768 54576 54644 57608 64809 69024 81966 86412 103536 109152 109288 115216 122949 129618 163932 172824 207072 218576 230432 245898 259236 272501 327864 345648 437152 491796 518472 545002 655728 691296 817503 983592 1036944 1090004 1311456 1635006 1967184 2073888 2180008 2452509 3270012 3934368 4360016 4905018 5177519 6540024 8720032 9810036 10355038 13080048 15532557 19620072 20710076 26160096 31065114 39240144 41420152 46597671 62130228 78480288 82840304 93195342 124260456 165680608 186390684 248520912 372781368 497041824 745562736 1491125472