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1940490601 = 74292312
BaseRepresentation
bin111001110101001…
…1000100101101001
312000020101010200021
41303222120211221
512433231144401
6520315240441
766041620000
oct16352304551
95006333607
101940490601
119063a1345
12461a49121
1324c03c7ba
14145a07c37
15b555a2a1
hex73a98969

1940490601 has 45 divisors (see below), whose sum is σ = 2422593303. Its totient is φ = 1554119280.

The previous prime is 1940490593. The next prime is 1940490613. The reversal of 1940490601 is 1060940491.

The square root of 1940490601 is 44051.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1017546201 + 922944400 = 31899^2 + 30380^2 .

It is not a de Polignac number, because 1940490601 - 23 = 1940490593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1940490631) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 62596456 + ... + 62596486.

Almost surely, 21940490601 is an apocalyptic number.

1940490601 is the 44051-st square number.

1940490601 is the 22026-th centered octagonal number.

It is an amenable number.

1940490601 is a deficient number, since it is larger than the sum of its proper divisors (482102702).

1940490601 is an frugal number, since it uses more digits than its factorization.

1940490601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The cubic root of 1940490601 is about 1247.2988286900.

The spelling of 1940490601 in words is "one billion, nine hundred forty million, four hundred ninety thousand, six hundred one".

Divisors: 1 7 29 31 49 203 217 343 841 899 961 1421 1519 2401 5887 6293 6727 9947 10633 26071 27869 41209 44051 47089 69629 74431 182497 195083 288463 308357 329623 808201 1277479 1365581 2019241 2158499 2307361 5657407 8942353 9559067 39601849 62596471 66913469 277212943 1940490601