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5746078272 = 263117934439
BaseRepresentation
bin1010101100111111…
…00011001001000000
3112211110021000112210
411112133203021000
543231444001042
62350102222120
7262251600534
oct52637431100
915743230483
105746078272
112489569720
121144424940
137075b231c
143c71d1bc4
152396cba9c
hex1567e3240

5746078272 has 112 divisors (see below), whose sum is σ = 16795699200. Its totient is φ = 1719144960.

The previous prime is 5746078271. The next prime is 5746078277. The reversal of 5746078272 is 2728706475.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5746078271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149629 + ... + 184067.

It is an arithmetic number, because the mean of its divisors is an integer number (149961600).

Almost surely, 25746078272 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 5746078272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8397849600).

5746078272 is an abundant number, since it is smaller than the sum of its proper divisors (11049620928).

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

5746078272 is a wasteful number, since it uses less digits than its factorization.

5746078272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34544 (or 34534 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 48.

The square root of 5746078272 is about 75802.8909211252. The cubic root of 5746078272 is about 1791.1165460881.

The spelling of 5746078272 in words is "five billion, seven hundred forty-six million, seventy-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 79 88 96 132 158 176 192 237 264 316 352 474 528 632 704 869 948 1056 1264 1738 1896 2112 2528 2607 3476 3792 5056 5214 6952 7584 10428 13904 15168 20856 27808 34439 41712 55616 68878 83424 103317 137756 166848 206634 275512 378829 413268 551024 757658 826536 1102048 1136487 1515316 1653072 2204096 2272974 2720681 3030632 3306144 4545948 5441362 6061264 6612288 8162043 9091896 10882724 12122528 16324086 18183792 21765448 24245056 29927491 32648172 36367584 43530896 59854982 65296344 72735168 87061792 89782473 119709964 130592688 174123584 179564946 239419928 261185376 359129892 478839856 522370752 718259784 957679712 1436519568 1915359424 2873039136 5746078272