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4202244488 = 23132412432
BaseRepresentation
bin1111101001111001…
…0010100110001000
3101211212021010201202
43322132102212020
532101233310423
61532552403332
7206064326441
oct37236224610
911755233652
104202244488
11186706a532
129933a6548
1351c7b3500
142bc15c2c8
15198dc4728
hexfa792988

4202244488 has 108 divisors (see below), whose sum is σ = 8953199055. Its totient is φ = 1848188160.

The previous prime is 4202244469. The next prime is 4202244511. The reversal of 4202244488 is 8844422024.

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.

4202244488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 119290084 + 4082954404 = 10922^2 + 63898^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=45838.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 97726595 + ... + 97726637.

Almost surely, 24202244488 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 4202244488

4202244488 is an abundant number, since it is smaller than the sum of its proper divisors (4750954567).

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

4202244488 is a wasteful number, since it uses less digits than its factorization.

4202244488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 38.

The square root of 4202244488 is about 64824.7212720579. The cubic root of 4202244488 is about 1613.7160012901.

Multiplying 4202244488 by its product of nonzero digits (131072), we get a square (550796589531136 = 234690562).

The spelling of 4202244488 in words is "four billion, two hundred two million, two hundred forty-four thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 13 26 41 43 52 82 86 104 164 169 172 328 338 344 533 559 676 1066 1118 1352 1681 1763 1849 2132 2236 3362 3526 3698 4264 4472 6724 6929 7052 7267 7396 13448 13858 14104 14534 14792 21853 22919 24037 27716 29068 43706 45838 48074 55432 58136 72283 75809 87412 91676 96148 144566 151618 174824 183352 192296 284089 289132 297947 303236 312481 568178 578264 595894 606472 624962 939679 985517 1136356 1191788 1249924 1879358 1971034 2272712 2383576 2499848 3108169 3758716 3942068 6216338 7517432 7884136 12215827 12432676 12811721 24431654 24865352 25623442 40406197 48863308 51246884 80812394 97726616 102493768 161624788 323249576 525280561 1050561122 2101122244 4202244488