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52265088 = 2734712
BaseRepresentation
bin1100011101100…
…0000010000000
310122100100020000
43013120002000
5101334440323
65104120000
71203150231
oct307300200
9118310200
1052265088
1127558597
1215606000
13aa9c3b5
146d27088
1548c5e43
hex31d8080

52265088 has 120 divisors (see below), whose sum is σ = 157761615. Its totient is φ = 17176320.

The previous prime is 52265071. The next prime is 52265093. The reversal of 52265088 is 88056225.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

52265088 is a `hidden beast` number, since 522 + 6 + 50 + 88 = 666.

It can be written as a sum of positive squares in only one way, i.e., 26132544 + 26132544 = 5112^2 + 5112^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5112.

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

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 736093 + ... + 736163.

Almost surely, 252265088 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 52265088

52265088 is an abundant number, since it is smaller than the sum of its proper divisors (105496527).

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

52265088 is an frugal number, since it uses more digits than its factorization.

52265088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 52265088 is about 7229.4597308513. The cubic root of 52265088 is about 373.8842998605.

The spelling of 52265088 in words is "fifty-two million, two hundred sixty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 71 72 81 96 108 128 142 144 162 192 213 216 284 288 324 384 426 432 568 576 639 648 852 864 1136 1152 1278 1296 1704 1728 1917 2272 2556 2592 3408 3456 3834 4544 5041 5112 5184 5751 6816 7668 9088 10082 10224 10368 11502 13632 15123 15336 20164 20448 23004 27264 30246 30672 40328 40896 45369 46008 60492 61344 80656 81792 90738 92016 120984 122688 136107 161312 181476 184032 241968 245376 272214 322624 362952 368064 408321 483936 544428 645248 725904 736128 816642 967872 1088856 1451808 1633284 1935744 2177712 2903616 3266568 4355424 5807232 6533136 8710848 13066272 17421696 26132544 52265088