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164717952 = 2737233263
BaseRepresentation
bin10011101000101…
…10010110000000
3102110221112112220
421310112112000
5314131433302
624202251040
74040036160
oct1164262600
9373845486
10164717952
1184a85043
12471b6a80
1328183059
1417c3a5a0
15e6da4bc
hex9d16580

164717952 has 128 divisors (see below), whose sum is σ = 504092160. Its totient is φ = 46682112.

The previous prime is 164717933. The next prime is 164717983. The reversal of 164717952 is 259717461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1647179522 = 54264007422148608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 626173 + ... + 626435.

It is an arithmetic number, because the mean of its divisors is an integer number (3938220).

Almost surely, 2164717952 is an apocalyptic number.

164717952 is a gapful number since it is divisible by the number (12) 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 164717952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252046080).

164717952 is an abundant number, since it is smaller than the sum of its proper divisors (339374208).

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

164717952 is a wasteful number, since it uses less digits than its factorization.

164717952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 508 counting only the distinct ones).

The product of its digits is 105840, while the sum is 42.

The square root of 164717952 is about 12834.2491794417. The cubic root of 164717952 is about 548.1679560482.

The spelling of 164717952 in words is "one hundred sixty-four million, seven hundred seventeen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 233 263 336 384 448 466 526 672 699 789 896 932 1052 1344 1398 1578 1631 1841 1864 2104 2688 2796 3156 3262 3682 3728 4208 4893 5523 5592 6312 6524 7364 7456 8416 9786 11046 11184 12624 13048 14728 14912 16832 19572 22092 22368 25248 26096 29456 29824 33664 39144 44184 44736 50496 52192 58912 61279 78288 88368 89472 100992 104384 117824 122558 156576 176736 183837 208768 235648 245116 313152 353472 367674 428953 490232 626304 706944 735348 857906 980464 1286859 1470696 1715812 1960928 2573718 2941392 3431624 3921856 5147436 5882784 6863248 7843712 10294872 11765568 13726496 20589744 23531136 27452992 41179488 54905984 82358976 164717952