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748048480 = 25597157307
BaseRepresentation
bin101100100101100…
…101000001100000
31221010120210121021
4230211211001200
53013000022410
6202121135224
724352210234
oct5445450140
91833523537
10748048480
11354287993
1218a62a514
13bbc9344a
14714c45c4
1545a13eda
hex2c965060

748048480 has 96 divisors (see below), whose sum is σ = 1802709216. Its totient is φ = 293289984.

The previous prime is 748048453. The next prime is 748048489. The reversal of 748048480 is 84840847.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748048489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2436487 + ... + 2436793.

It is an arithmetic number, because the mean of its divisors is an integer number (18778221).

Almost surely, 2748048480 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 748048480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901354608).

748048480 is an abundant number, since it is smaller than the sum of its proper divisors (1054660736).

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

748048480 is a wasteful number, since it uses less digits than its factorization.

748048480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 43.

The square root of 748048480 is about 27350.4749501723. The cubic root of 748048480 is about 907.7715792258.

The spelling of 748048480 in words is "seven hundred forty-eight million, forty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 157 160 194 307 314 388 485 614 628 776 785 970 1228 1256 1535 1552 1570 1940 2456 2512 3070 3104 3140 3880 4912 5024 6140 6280 7760 9824 12280 12560 15229 15520 24560 25120 29779 30458 48199 49120 59558 60916 76145 96398 119116 121832 148895 152290 192796 238232 240995 243664 297790 304580 385592 476464 481990 487328 595580 609160 771184 952928 963980 1191160 1218320 1542368 1927960 2382320 2436640 3855920 4675303 4764640 7711840 9350606 18701212 23376515 37402424 46753030 74804848 93506060 149609696 187012120 374024240 748048480