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355000052 = 22111737101127
BaseRepresentation
bin10101001010001…
…101111011110100
3220201222212112002
4111022031323310
51211340000202
655120514432
711540310401
oct2512157364
9821885462
10355000052
1117242a880
129aa7ba18
1358717004
143520d2a8
1521275302
hex1528def4

355000052 has 96 divisors (see below), whose sum is σ = 750145536. Its totient is φ = 145152000.

The previous prime is 355000039. The next prime is 355000067. The reversal of 355000052 is 250000553.

It is a junction number, because it is equal to n+sod(n) for n = 354999988 and 355000033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2795213 + ... + 2795339.

It is an arithmetic number, because the mean of its divisors is an integer number (7814016).

Almost surely, 2355000052 is an apocalyptic number.

It is an amenable number.

355000052 is an abundant number, since it is smaller than the sum of its proper divisors (395145484).

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

355000052 is a wasteful number, since it uses less digits than its factorization.

355000052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 355000052 is about 18841.4450613534. The cubic root of 355000052 is about 708.0699096809.

It can be divided in two parts, 3 and 55000052, that added together give a palindrome (55000055).

The spelling of 355000052 in words is "three hundred fifty-five million, fifty-two", and thus it is an aban number.

Divisors: 1 2 4 11 17 22 34 37 44 68 74 101 127 148 187 202 254 374 404 407 508 629 748 814 1111 1258 1397 1628 1717 2159 2222 2516 2794 3434 3737 4318 4444 4699 5588 6868 6919 7474 8636 9398 12827 13838 14948 18796 18887 23749 25654 27676 37774 41107 47498 51308 51689 63529 75548 79883 82214 94996 103378 127058 141097 159766 164428 206756 218059 254116 282194 319532 436118 474599 564388 698819 872236 878713 949198 1397638 1757426 1898396 2398649 2795276 3514852 4797298 5220589 8068183 9594596 10441178 16136366 20882356 32272732 88750013 177500026 355000052