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145369392 = 2437597333
BaseRepresentation
bin10001010101000…
…10100100110000
3101010112112022120
420222202210300
5244203310032
622231434240
73413422320
oct1052424460
9333475276
10145369392
117506a1a3
1240825980
132416a2bc
1415441280
15cb6762c
hex8aa2930

145369392 has 80 divisors (see below), whose sum is σ = 436519680. Its totient is φ = 40824576.

The previous prime is 145369391. The next prime is 145369403. The reversal of 145369392 is 293963541.

It is a happy number.

It is a super-2 number, since 2×1453693922 = 42264520260899328, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (145369391) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16158 + ... + 23490.

It is an arithmetic number, because the mean of its divisors is an integer number (5456496).

Almost surely, 2145369392 is an apocalyptic number.

145369392 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 145369392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218259840).

145369392 is an abundant number, since it is smaller than the sum of its proper divisors (291150288).

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

145369392 is a wasteful number, since it uses less digits than its factorization.

145369392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7410 (or 7404 counting only the distinct ones).

The product of its digits is 174960, while the sum is 42.

The square root of 145369392 is about 12056.9229905478. The cubic root of 145369392 is about 525.8045315524.

The spelling of 145369392 in words is "one hundred forty-five million, three hundred sixty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 826 944 1239 1416 1652 2478 2832 3304 4956 6608 7333 9912 14666 19824 21999 29332 43998 51331 58664 87996 102662 117328 153993 175992 205324 307986 351984 410648 432647 615972 821296 865294 1231944 1297941 1730588 2463888 2595882 3028529 3461176 5191764 6057058 6922352 9085587 10383528 12114116 18171174 20767056 24228232 36342348 48456464 72684696 145369392