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290064192 = 26311137341
BaseRepresentation
bin10001010010100…
…000011101000000
3202012210210021020
4101102200131000
51043224023232
644441025440
710121335125
oct2122403500
9665723236
10290064192
11139808580
1281185280
134812c522
142a74874c
151a6e9e2c
hex114a0740

290064192 has 56 divisors (see below), whose sum is σ = 837236832. Its totient is φ = 87897600.

The previous prime is 290064161. The next prime is 290064199. The reversal of 290064192 is 291460092.

It is a super-2 number, since 2×2900641922 = 168274470961225728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (290064199) 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, 66559 + ... + 70782.

Almost surely, 2290064192 is an apocalyptic number.

290064192 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

290064192 is an abundant number, since it is smaller than the sum of its proper divisors (547172640).

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

290064192 is a wasteful number, since it uses less digits than its factorization.

290064192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137367 (or 137357 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 290064192 is about 17031.2710036568. The cubic root of 290064192 is about 661.9594295500.

The spelling of 290064192 in words is "two hundred ninety million, sixty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 137341 274682 412023 549364 824046 1098728 1510751 1648092 2197456 3021502 3296184 4394912 4532253 6043004 6592368 8789824 9064506 12086008 13184736 18129012 24172016 26369472 36258024 48344032 72516048 96688064 145032096 290064192