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146925492 = 223717313319
BaseRepresentation
bin10001100000111…
…10011110110100
3101020110120212220
420300132132310
5300103103432
622325042340
73432563130
oct1060363664
9336416786
10146925492
1175a3232a
12412563b0
132459367c
14157283c0
15cd7372c
hex8c1e7b4

146925492 has 96 divisors (see below), whose sum is σ = 428359680. Its totient is φ = 38223360.

The previous prime is 146925491. The next prime is 146925503. The reversal of 146925492 is 294529641.

146925492 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146925491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42609 + ... + 45927.

It is an arithmetic number, because the mean of its divisors is an integer number (4462080).

Almost surely, 2146925492 is an apocalyptic number.

146925492 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 146925492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214179840).

146925492 is an abundant number, since it is smaller than the sum of its proper divisors (281434188).

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

146925492 is a wasteful number, since it uses less digits than its factorization.

146925492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3379 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 146925492 is about 12121.2826054011. The cubic root of 146925492 is about 527.6740268705.

The spelling of 146925492 in words is "one hundred forty-six million, nine hundred twenty-five thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 31 34 42 51 62 68 84 93 102 119 124 186 204 217 238 357 372 434 476 527 651 714 868 1054 1302 1428 1581 2108 2604 3162 3319 3689 6324 6638 7378 9957 11067 13276 14756 19914 22134 23233 39828 44268 46466 56423 69699 92932 102889 112846 139398 169269 205778 225692 278796 308667 338538 394961 411556 617334 677076 720223 789922 1184883 1234668 1440446 1579844 1749113 2160669 2369766 2880892 3498226 4321338 4739532 5247339 6996452 8642676 10494678 12243791 20989356 24487582 36731373 48975164 73462746 146925492