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73048400 = 24523143137
BaseRepresentation
bin1000101101010…
…10000101010000
312002110020120022
410112222011100
5122200022100
611125403012
71544621045
oct426520520
9162406508
1073048400
1138263387
1220569468
1312198209
1499b71cc
15662de85
hex45aa150

73048400 has 120 divisors (see below), whose sum is σ = 186726144. Its totient is φ = 27417600.

The previous prime is 73048343. The next prime is 73048427. The reversal of 73048400 is 484037.

It is a self number, because there is not a number n which added to its sum of digits gives 73048400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533132 + ... + 533268.

Almost surely, 273048400 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 73048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93363072).

73048400 is an abundant number, since it is smaller than the sum of its proper divisors (113677744).

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

73048400 is a wasteful number, since it uses less digits than its factorization.

73048400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 73048400 is about 8546.8356717560. The cubic root of 73048400 is about 418.0262645371.

The spelling of 73048400 in words is "seventy-three million, forty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 43 50 62 80 86 100 124 137 155 172 200 215 248 274 310 344 400 430 496 548 620 685 688 775 860 1075 1096 1240 1333 1370 1550 1720 2150 2192 2480 2666 2740 3100 3425 3440 4247 4300 5332 5480 5891 6200 6665 6850 8494 8600 10664 10960 11782 12400 13330 13700 16988 17200 21235 21328 23564 26660 27400 29455 33325 33976 42470 47128 53320 54800 58910 66650 67952 84940 94256 106175 106640 117820 133300 147275 169880 182621 212350 235640 266600 294550 339760 365242 424700 471280 533200 589100 730484 849400 913105 1178200 1460968 1698800 1826210 2356400 2921936 3652420 4565525 7304840 9131050 14609680 18262100 36524200 73048400