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168038496 = 2533434523
BaseRepresentation
bin10100000010000…
…01000001100000
3102201012020111000
422001001001200
5321004212441
624401352000
74110206103
oct1201010140
9381166430
10168038496
118694289a
1248338600
1328a76582
141846273a
15eb442b6
hexa041060

168038496 has 96 divisors (see below), whose sum is σ = 501621120. Its totient is φ = 54698112.

The previous prime is 168038477. The next prime is 168038543. The reversal of 168038496 is 694830861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1680384962 = 56473872275884032, which contains 22 as substring.

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, 34891 + ... + 39413.

It is an arithmetic number, because the mean of its divisors is an integer number (5225220).

Almost surely, 2168038496 is an apocalyptic number.

168038496 is a gapful number since it is divisible by the number (16) 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 168038496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250810560).

168038496 is an abundant number, since it is smaller than the sum of its proper divisors (333582624).

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

168038496 is a wasteful number, since it uses less digits than its factorization.

168038496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4585 (or 4571 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 168038496 is about 12962.9663271953. The cubic root of 168038496 is about 551.8269779087.

The spelling of 168038496 in words is "one hundred sixty-eight million, thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1032 1161 1376 1548 2064 2322 3096 4128 4523 4644 6192 9046 9288 12384 13569 18092 18576 27138 36184 37152 40707 54276 72368 81414 108552 122121 144736 162828 194489 217104 244242 325656 388978 434208 488484 583467 651312 777956 976968 1166934 1302624 1555912 1750401 1953936 2333868 3111824 3500802 3907872 4667736 5251203 6223648 7001604 9335472 10502406 14003208 18670944 21004812 28006416 42009624 56012832 84019248 168038496