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147424704 = 2637229479
BaseRepresentation
bin10001100100110…
…00010111000000
3101021101221200020
420302120113000
5300220042304
622343453440
73440042430
oct1062302700
9337357606
10147424704
11762433a9
1241457280
132470996b
14158182c0
15ce215d9
hex8c985c0

147424704 has 112 divisors (see below), whose sum is σ = 448665600. Its totient is φ = 41849856.

The previous prime is 147424691. The next prime is 147424729. The reversal of 147424704 is 407424741.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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, 307537 + ... + 308015.

Almost surely, 2147424704 is an apocalyptic number.

147424704 is a gapful number since it is divisible by the number (14) 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 147424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224332800).

147424704 is an abundant number, since it is smaller than the sum of its proper divisors (301240896).

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

147424704 is a wasteful number, since it uses less digits than its factorization.

147424704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 33.

The square root of 147424704 is about 12141.8575185183. The cubic root of 147424704 is about 528.2709811966.

The spelling of 147424704 in words is "one hundred forty-seven million, four hundred twenty-four thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 229 336 448 458 479 672 687 916 958 1344 1374 1437 1603 1832 1916 2748 2874 3206 3353 3664 3832 4809 5496 5748 6412 6706 7328 7664 9618 10059 10992 11496 12824 13412 14656 15328 19236 20118 21984 22992 25648 26824 30656 38472 40236 43968 45984 51296 53648 76944 80472 91968 102592 107296 109691 153888 160944 214592 219382 307776 321888 329073 438764 643776 658146 767837 877528 1316292 1535674 1755056 2303511 2632584 3071348 3510112 4607022 5265168 6142696 7020224 9214044 10530336 12285392 18428088 21060672 24570784 36856176 49141568 73712352 147424704