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4402006248 = 2331723716607
BaseRepresentation
bin1000001100110000…
…10100100011101000
3102100210011002100110
410012120110203220
533003403144443
62004450134320
7214041302313
oct40630244350
912323132313
104402006248
1119598aa4a2
12a2a2813a0
13551cb6233
142da8bb97a
151ab6d3233
hex1066148e8

4402006248 has 128 divisors (see below), whose sum is σ = 12332113920. Its totient is φ = 1302174720.

The previous prime is 4402006247. The next prime is 4402006283. The reversal of 4402006248 is 8426002044.

It is not an unprimeable number, because it can be changed into a prime (4402006247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 662961 + ... + 669567.

It is an arithmetic number, because the mean of its divisors is an integer number (96344640).

Almost surely, 24402006248 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 4402006248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6166056960).

4402006248 is an abundant number, since it is smaller than the sum of its proper divisors (7930107672).

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

4402006248 is a wasteful number, since it uses less digits than its factorization.

4402006248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6727 (or 6723 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 4402006248 is about 66347.6167469488. The cubic root of 4402006248 is about 1638.8915581545.

The spelling of 4402006248 in words is "four billion, four hundred two million, six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 71 92 102 136 138 142 184 204 213 276 284 391 408 426 552 568 782 852 1173 1207 1564 1633 1704 2346 2414 3128 3266 3621 4692 4828 4899 6532 6607 7242 9384 9656 9798 13064 13214 14484 19596 19821 26428 27761 28968 39192 39642 52856 55522 79284 83283 111044 112319 151961 158568 166566 222088 224638 303922 333132 336957 449276 455883 469097 607844 666264 673914 898552 911766 938194 1215688 1347828 1407291 1823532 1876388 2583337 2695656 2814582 3647064 3752776 5166674 5629164 7750011 7974649 10333348 10789231 11258328 15500022 15949298 20666696 21578462 23923947 31000044 31898596 32367693 43156924 47847894 62000088 63797192 64735386 86313848 95695788 129470772 183416927 191391576 258941544 366833854 550250781 733667708 1100501562 1467335416 2201003124 4402006248