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4272429952 = 2773234231
BaseRepresentation
bin1111111010101000…
…0001101110000000
3102000202022221002101
43332222001232000
532222220224302
61543541000144
7210606025000
oct37652015600
912022287071
104272429952
1118a274794a
129b29b3054
135311b857b
142c75cc000
151a013a287
hexfea81b80

4272429952 has 128 divisors (see below), whose sum is σ = 10359936000. Its totient is φ = 1751016960.

The previous prime is 4272429947. The next prime is 4272429979. The reversal of 4272429952 is 2599242724.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1007677 + ... + 1011907.

It is an arithmetic number, because the mean of its divisors is an integer number (80937000).

Almost surely, 24272429952 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 4272429952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5179968000).

4272429952 is an abundant number, since it is smaller than the sum of its proper divisors (6087506048).

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

4272429952 is an equidigital number, since it uses as much as digits as its factorization.

4272429952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4289 (or 4263 counting only the distinct ones).

The product of its digits is 725760, while the sum is 46.

The square root of 4272429952 is about 65363.8275501060. The cubic root of 4272429952 is about 1622.6504841182.

The spelling of 4272429952 in words is "four billion, two hundred seventy-two million, four hundred twenty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 64 92 98 112 128 161 184 196 224 322 343 368 392 448 644 686 736 784 896 1127 1288 1372 1472 1568 2254 2576 2744 2944 3136 4231 4508 5152 5488 6272 7889 8462 9016 10304 10976 15778 16924 18032 20608 21952 29617 31556 33848 36064 43904 59234 63112 67696 72128 97313 118468 126224 135392 144256 194626 207319 236936 252448 270784 389252 414638 473872 504896 541568 681191 778504 829276 947744 1009792 1362382 1451233 1557008 1658552 1895488 2724764 2902466 3114016 3317104 3790976 4768337 5449528 5804932 6228032 6634208 9536674 10899056 11609864 12456064 13268416 19073348 21798112 23219728 26536832 33378359 38146696 43596224 46439456 66756718 76293392 87192448 92878912 133513436 152586784 185757824 267026872 305173568 534053744 610347136 1068107488 2136214976 4272429952