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52166592 = 263429347
BaseRepresentation
bin1100011011111…
…1111111000000
310122011100010000
43012333333000
5101323312332
65102040000
71202260122
oct306777700
9118140100
1052166592
11274a0595
1215579000
13aa6660a
146cdd212
1548a6b7c
hex31bffc0

52166592 has 140 divisors (see below), whose sum is σ = 160431480. Its totient is φ = 16740864.

The previous prime is 52166567. The next prime is 52166617. The reversal of 52166592 is 29566125.

52166592 is a `hidden beast` number, since 5 + 2 + 1 + 66 + 592 = 666.

It is an interprime number because it is at equal distance from previous prime (52166567) and next prime (52166617).

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

Its product of digits (32400) is a multiple of the sum of its prime factors (400).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 150163 + ... + 150509.

Almost surely, 252166592 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 52166592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80215740).

52166592 is an abundant number, since it is smaller than the sum of its proper divisors (108264888).

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

52166592 is a wasteful number, since it uses less digits than its factorization.

52166592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 381 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 52166592 is about 7222.6443910800. The cubic root of 52166592 is about 373.6492846897.

The spelling of 52166592 in words is "fifty-two million, one hundred sixty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 144 162 174 192 216 232 261 288 324 347 348 432 464 522 576 648 694 696 783 864 928 1041 1044 1296 1388 1392 1566 1728 1856 2082 2088 2349 2592 2776 2784 3123 3132 4164 4176 4698 5184 5552 5568 6246 6264 8328 8352 9369 9396 10063 11104 12492 12528 16656 16704 18738 18792 20126 22208 24984 25056 28107 30189 33312 37476 37584 40252 49968 50112 56214 60378 66624 74952 75168 80504 90567 99936 112428 120756 149904 150336 161008 181134 199872 224856 241512 271701 299808 322016 362268 449712 483024 543402 599616 644032 724536 815103 899424 966048 1086804 1449072 1630206 1798848 1932096 2173608 2898144 3260412 4347216 5796288 6520824 8694432 13041648 17388864 26083296 52166592