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77250330 = 23252367557
BaseRepresentation
bin1001001101010…
…11111100011010
312101100201112100
410212223330122
5124234002310
611355424230
71625421423
oct446537432
9171321470
1077250330
113a673353
1221a55076
1313009971
14a38c64a
156badec0
hex49abf1a

77250330 has 96 divisors (see below), whose sum is σ = 213093504. Its totient is φ = 19375488.

The previous prime is 77250323. The next prime is 77250331. The reversal of 77250330 is 3305277.

It is a super-3 number, since 3×772503303 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 77250294 and 77250303.

It is not an unprimeable number, because it can be changed into a prime (77250331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 138412 + ... + 138968.

It is an arithmetic number, because the mean of its divisors is an integer number (2219724).

Almost surely, 277250330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77250330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106546752).

77250330 is an abundant number, since it is smaller than the sum of its proper divisors (135843174).

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

77250330 is a wasteful number, since it uses less digits than its factorization.

77250330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 27.

The square root of 77250330 is about 8789.2166886475. The cubic root of 77250330 is about 425.8926198970.

The spelling of 77250330 in words is "seventy-seven million, two hundred fifty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 67 69 90 115 134 138 201 207 230 335 345 402 414 557 603 670 690 1005 1035 1114 1206 1541 1671 2010 2070 2785 3015 3082 3342 4623 5013 5570 6030 7705 8355 9246 10026 12811 13869 15410 16710 23115 25065 25622 27738 37319 38433 46230 50130 64055 69345 74638 76866 111957 115299 128110 138690 186595 192165 223914 230598 335871 373190 384330 559785 576495 671742 858337 1119570 1152990 1679355 1716674 2575011 3358710 4291685 5150022 7725033 8583370 12875055 15450066 25750110 38625165 77250330