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742707264 = 263131915661
BaseRepresentation
bin101100010001001…
…101000001000000
31220202112102211110
4230101031001000
53010113113024
6201410443320
724255623205
oct5421150100
91822472743
10742707264
11351269a62
12188893540
13bab43270
14708d3cac
154530b629
hex2c44d040

742707264 has 112 divisors (see below), whose sum is σ = 2227762880. Its totient is φ = 216483840.

The previous prime is 742707263. The next prime is 742707289. The reversal of 742707264 is 462707247.

It is a super-2 number, since 2×7427072642 = 1103228159996731392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (742707263) 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, 39594 + ... + 55254.

It is an arithmetic number, because the mean of its divisors is an integer number (19890740).

Almost surely, 2742707264 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 742707264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113881440).

742707264 is an abundant number, since it is smaller than the sum of its proper divisors (1485055616).

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

742707264 is a wasteful number, since it uses less digits than its factorization.

742707264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15708 (or 15698 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The square root of 742707264 is about 27252.6560907373. The cubic root of 742707264 is about 905.6058594850.

The spelling of 742707264 in words is "seven hundred forty-two million, seven hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 912 988 1216 1248 1482 1824 1976 2496 2964 3648 3952 5928 7904 11856 15661 15808 23712 31322 46983 47424 62644 93966 125288 187932 203593 250576 297559 375864 407186 501152 595118 610779 751728 814372 892677 1002304 1190236 1221558 1503456 1628744 1785354 2380472 2443116 3006912 3257488 3570708 3868267 4760944 4886232 6514976 7141416 7736534 9521888 9772464 11604801 13029952 14282832 15473068 19043776 19544928 23209602 28565664 30946136 39089856 46419204 57131328 61892272 92838408 123784544 185676816 247569088 371353632 742707264