Search a number
-
+
290037957 = 31124136469
BaseRepresentation
bin10001010010011…
…010000011000101
3202012202110021120
4101102122003011
51043222203312
644440304153
710121165466
oct2122320305
9665673246
10290037957
1113979a8a0
1281172059
13481205c1
142a73cd6d
151a6e228c
hex1149a0c5

290037957 has 16 divisors (see below), whose sum is σ = 423635520. Its totient is φ = 175046400.

The previous prime is 290037949. The next prime is 290037959. The reversal of 290037957 is 759730092.

It is not a de Polignac number, because 290037957 - 23 = 290037949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290037959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10282 + ... + 26187.

It is an arithmetic number, because the mean of its divisors is an integer number (26477220).

Almost surely, 2290037957 is an apocalyptic number.

It is an amenable number.

290037957 is a deficient number, since it is larger than the sum of its proper divisors (133597563).

290037957 is a wasteful number, since it uses less digits than its factorization.

290037957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36724.

The product of its (nonzero) digits is 119070, while the sum is 42.

The square root of 290037957 is about 17030.5007853557. The cubic root of 290037957 is about 661.9394718651.

It can be divided in two parts, 2900379 and 57, that added together give a triangular number (2900436 = T2408).

The spelling of 290037957 in words is "two hundred ninety million, thirty-seven thousand, nine hundred fifty-seven".

Divisors: 1 3 11 33 241 723 2651 7953 36469 109407 401159 1203477 8789029 26367087 96679319 290037957