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48122319424 = 2617216132
BaseRepresentation
bin101100110100010100…
…000101001001000000
311121012201122010002211
4230310110011021000
51242023303210144
634035044151504
73322341652234
oct546424051100
9147181563084
1048122319424
1119454881923
1293b0098594
1346cba5222a
1424871d65c4
1513b9ae5034
hexb34505240

48122319424 has 63 divisors (see below), whose sum is σ = 101503299787. Its totient is φ = 22631757824.

The previous prime is 48122319419. The next prime is 48122319467. The reversal of 48122319424 is 42491322184.

The square root of 48122319424 is 219368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8058293824 + 40064025600 = 89768^2 + 200160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29833242 + ... + 29834854.

Almost surely, 248122319424 is an apocalyptic number.

48122319424 is the 219368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48122319424

48122319424 is an abundant number, since it is smaller than the sum of its proper divisors (53380980363).

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

48122319424 is an frugal number, since it uses more digits than its factorization.

48122319424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3272 (or 1632 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The spelling of 48122319424 in words is "forty-eight billion, one hundred twenty-two million, three hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 1613 2312 3226 4624 6452 9248 12904 18496 25808 27421 51616 54842 103232 109684 219368 438736 466157 877472 932314 1754944 1864628 2601769 3729256 5203538 7458512 10407076 14917024 20814152 29834048 41628304 44230073 83256608 88460146 166513216 176920292 353840584 707681168 751911241 1415362336 1503822482 2830724672 3007644964 6015289928 12030579856 24061159712 48122319424