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4241948672 = 216132383
BaseRepresentation
bin1111110011010111…
…0000000000000000
3101221121222022122002
43330311300000000
532141414324142
61540531403132
7210055653203
oct37465600000
911847868562
104241948672
111887518905
129a47534a8
13527aa5500
142c353593a
1519c618a32
hexfcd70000

4241948672 has 102 divisors (see below), whose sum is σ = 9210621312. Its totient is φ = 1952710656.

The previous prime is 4241948609. The next prime is 4241948677. The reversal of 4241948672 is 2768491424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4241948677) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11075393 + ... + 11075775.

Almost surely, 24241948672 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 4241948672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4605310656).

4241948672 is an abundant number, since it is smaller than the sum of its proper divisors (4968672640).

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

4241948672 is an frugal number, since it uses more digits than its factorization.

4241948672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 398 counting only the distinct ones).

The product of its digits is 774144, while the sum is 47.

The square root of 4241948672 is about 65130.2439117189. The cubic root of 4241948672 is about 1618.7823843454.

The spelling of 4241948672 in words is "four billion, two hundred forty-one million, nine hundred forty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 383 416 512 676 766 832 1024 1352 1532 1664 2048 2704 3064 3328 4096 4979 5408 6128 6656 8192 9958 10816 12256 13312 16384 19916 21632 24512 26624 32768 39832 43264 49024 53248 64727 65536 79664 86528 98048 106496 129454 159328 173056 196096 212992 258908 318656 346112 392192 425984 517816 637312 692224 784384 851968 1035632 1274624 1384448 1568768 2071264 2549248 2768896 3137536 4142528 5098496 5537792 6275072 8285056 10196992 11075584 12550144 16570112 20393984 25100288 33140224 40787968 66280448 81575936 132560896 163151872 265121792 326303744 530243584 1060487168 2120974336 4241948672