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146313608 = 2372735113
BaseRepresentation
bin10001011100010…
…01000110001000
3101012022111112112
420232021012020
5244424013413
622304001452
73424434200
oct1056110610
9335274475
10146313608
1175654641
1241000288
132440accc
1415609400
15cca22a8
hex8b89188

146313608 has 48 divisors (see below), whose sum is σ = 323562780. Its totient is φ = 61834752.

The previous prime is 146313571. The next prime is 146313641. The reversal of 146313608 is 806313641.

It can be written as a sum of positive squares in 2 ways, for example, as 132756484 + 13557124 = 11522^2 + 3682^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26060 + ... + 31172.

Almost surely, 2146313608 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 146313608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161781390).

146313608 is an abundant number, since it is smaller than the sum of its proper divisors (177249172).

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

146313608 is a wasteful number, since it uses less digits than its factorization.

146313608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5206 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 146313608 is about 12096.0162036929. The cubic root of 146313608 is about 526.9404928326.

The spelling of 146313608 in words is "one hundred forty-six million, three hundred thirteen thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 28 49 56 73 98 146 196 292 392 511 584 1022 2044 3577 4088 5113 7154 10226 14308 20452 28616 35791 40904 71582 143164 250537 286328 373249 501074 746498 1002148 1492996 2004296 2612743 2985992 5225486 10450972 18289201 20901944 36578402 73156804 146313608