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52923816 = 233211193517
BaseRepresentation
bin1100100111100…
…0110110101000
310200120210211100
43021320312220
5102022030231
65130201400
71211562561
oct311706650
9120523740
1052923816
11279684a0
1215883260
13ac7018a
147059168
1549a61e6
hex3278da8

52923816 has 96 divisors (see below), whose sum is σ = 164642400. Its totient is φ = 15189120.

The previous prime is 52923809. The next prime is 52923823. The reversal of 52923816 is 61832925.

52923816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (52923809) and next prime (52923823).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13290 + ... + 16806.

It is an arithmetic number, because the mean of its divisors is an integer number (1715025).

Almost surely, 252923816 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 52923816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82321200).

52923816 is an abundant number, since it is smaller than the sum of its proper divisors (111718584).

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

52923816 is a wasteful number, since it uses less digits than its factorization.

52923816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3559 (or 3552 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 52923816 is about 7274.8756690407. The cubic root of 52923816 is about 375.4485086927.

The spelling of 52923816 in words is "fifty-two million, nine hundred twenty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3517 3762 5016 7034 7524 10551 14068 15048 21102 28136 31653 38687 42204 63306 66823 77374 84408 116061 126612 133646 154748 200469 232122 253224 267292 309496 348183 400938 464244 534584 601407 696366 735053 801876 928488 1202814 1392732 1470106 1603752 2205159 2405628 2785464 2940212 4410318 4811256 5880424 6615477 8820636 13230954 17641272 26461908 52923816