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168996352 = 29761773
BaseRepresentation
bin10100001001010…
…10111000000000
3102202222220102011
422010222320000
5321230340402
624434102304
74121305510
oct1204527000
9382886364
10168996352
1187437508
124871a994
1329020555
1418631840
15ec82ed7
hexa12ae00

168996352 has 80 divisors (see below), whose sum is σ = 392733792. Its totient is φ = 71147520.

The previous prime is 168996343. The next prime is 168996361. The reversal of 168996352 is 253699861.

It is an interprime number because it is at equal distance from previous prime (168996343) and next prime (168996361).

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 168996296 and 168996305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218238 + ... + 219010.

Almost surely, 2168996352 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 168996352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196366896).

168996352 is an abundant number, since it is smaller than the sum of its proper divisors (223737440).

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

168996352 is an frugal number, since it uses more digits than its factorization.

168996352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 843 counting only the distinct ones).

The product of its digits is 699840, while the sum is 49.

The square root of 168996352 is about 12999.8596915505. The cubic root of 168996352 is about 552.8735032386.

The spelling of 168996352 in words is "one hundred sixty-eight million, nine hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 112 122 128 224 244 256 427 448 488 512 773 854 896 976 1546 1708 1792 1952 3092 3416 3584 3904 5411 6184 6832 7808 10822 12368 13664 15616 21644 24736 27328 31232 43288 47153 49472 54656 86576 94306 98944 109312 173152 188612 197888 218624 330071 346304 377224 395776 660142 692608 754448 1320284 1385216 1508896 2640568 2770432 3017792 5281136 6035584 10562272 12071168 21124544 24142336 42249088 84498176 168996352