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168829248 = 2637125617
BaseRepresentation
bin10100001000000…
…10000101000000
3102202200102012010
422010002011000
5321210013443
624430332520
74120011360
oct1204020500
9382612163
10168829248
1187332a05
124865a140
1328c92483
14185ca9a0
15ec4d733
hexa102140

168829248 has 56 divisors (see below), whose sum is σ = 510511552. Its totient is φ = 48236544.

The previous prime is 168829229. The next prime is 168829289. The reversal of 168829248 is 842928861.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 168829197 and 168829206.

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, 61465 + ... + 64152.

Almost surely, 2168829248 is an apocalyptic number.

It is an amenable number.

168829248 is an abundant number, since it is smaller than the sum of its proper divisors (341682304).

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

168829248 is a wasteful number, since it uses less digits than its factorization.

168829248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125639 (or 125629 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 168829248 is about 12993.4309556791. The cubic root of 168829248 is about 552.6912155925.

The spelling of 168829248 in words is "one hundred sixty-eight million, eight hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 125617 251234 376851 502468 753702 879319 1004936 1507404 1758638 2009872 2637957 3014808 3517276 4019744 5275914 6029616 7034552 8039488 10551828 12059232 14069104 21103656 24118464 28138208 42207312 56276416 84414624 168829248