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146049816 = 233112367359
BaseRepresentation
bin10001011010010…
…00101100011000
3101011211002200110
420231020230120
5244342043231
622254204320
73422255133
oct1055105430
9334732613
10146049816
1175494430
1240ab36a0
1324347c13
141557b21a
15cc4e046
hex8b48b18

146049816 has 128 divisors (see below), whose sum is σ = 423014400. Its totient is φ = 41585280.

The previous prime is 146049811. The next prime is 146049817. The reversal of 146049816 is 618940641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146049811) 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 31 ways as a sum of consecutive naturals, for example, 406645 + ... + 407003.

It is an arithmetic number, because the mean of its divisors is an integer number (3304800).

Almost surely, 2146049816 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 146049816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211507200).

146049816 is an abundant number, since it is smaller than the sum of its proper divisors (276964584).

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

146049816 is a wasteful number, since it uses less digits than its factorization.

146049816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 146049816 is about 12085.1071985316. The cubic root of 146049816 is about 526.6236248184.

The spelling of 146049816 in words is "one hundred forty-six million, forty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 67 69 88 92 132 134 138 184 201 253 264 268 276 359 402 506 536 552 718 737 759 804 1012 1077 1436 1474 1518 1541 1608 2024 2154 2211 2872 2948 3036 3082 3949 4308 4422 4623 5896 6072 6164 7898 8257 8616 8844 9246 11847 12328 15796 16514 16951 17688 18492 23694 24053 24771 31592 33028 33902 36984 47388 48106 49542 50853 66056 67804 72159 90827 94776 96212 99084 101706 135608 144318 181654 192424 198168 203412 264583 272481 288636 363308 406824 529166 544962 553219 577272 726616 793749 1058332 1089924 1106438 1587498 1659657 2116664 2179848 2212876 3174996 3319314 4425752 6085409 6349992 6638628 12170818 13277256 18256227 24341636 36512454 48683272 73024908 146049816