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145947864 = 23341831787
BaseRepresentation
bin10001011001011…
…11110011011000
3101011121220211110
420230233303120
5244330312424
622252100320
73421351656
oct1054576330
9334556743
10145947864
1175424877
1240a646a0
13243106aa
1415551dd6
15cc2dc29
hex8b2fcd8

145947864 has 64 divisors (see below), whose sum is σ = 378483840. Its totient is φ = 46864640.

The previous prime is 145947859. The next prime is 145947871. The reversal of 145947864 is 468749541.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

Its product of digits (967680) is a multiple of the sum of its prime factors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80779 + ... + 82565.

It is an arithmetic number, because the mean of its divisors is an integer number (5913810).

Almost surely, 2145947864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145947864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189241920).

145947864 is an abundant number, since it is smaller than the sum of its proper divisors (232535976).

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

145947864 is a wasteful number, since it uses less digits than its factorization.

145947864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1916 counting only the distinct ones).

The product of its digits is 967680, while the sum is 48.

The square root of 145947864 is about 12080.8883779298. Note that the first 3 decimals coincide. The cubic root of 145947864 is about 526.5010574388.

The spelling of 145947864 in words is "one hundred forty-five million, nine hundred forty-seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 41 82 83 123 164 166 246 249 328 332 492 498 664 984 996 1787 1992 3403 3574 5361 6806 7148 10209 10722 13612 14296 20418 21444 27224 40836 42888 73267 81672 146534 148321 219801 293068 296642 439602 444963 586136 593284 879204 889926 1186568 1758408 1779852 3559704 6081161 12162322 18243483 24324644 36486966 48649288 72973932 145947864