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78250048 = 2617235359
BaseRepresentation
bin1001010101000…
…00000001000000
312110020111212221
410222200001000
5130013000143
611433100424
71640054152
oct452400100
9173214787
1078250048
1140196468
1222257714
1313299a06
14a56cad2
156d0a2ed
hex4aa0040

78250048 has 112 divisors (see below), whose sum is σ = 177759360. Its totient is φ = 33972224.

The previous prime is 78250013. The next prime is 78250057. The reversal of 78250048 is 84005287.

It is a super-2 number, since 2×782500482 = 12246140024004608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 78249995 and 78250022.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1326243 + ... + 1326301.

Almost surely, 278250048 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 78250048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88879680).

78250048 is an abundant number, since it is smaller than the sum of its proper divisors (99509312).

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

78250048 is a wasteful number, since it uses less digits than its factorization.

78250048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 78250048 is about 8845.9057195971. The cubic root of 78250048 is about 427.7219494292.

It can be divided in two parts, 782 and 50048, that multiplied together give a square (39137536 = 62562).

The spelling of 78250048 in words is "seventy-eight million, two hundred fifty thousand, forty-eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 53 59 64 68 92 106 118 136 184 212 236 272 368 391 424 472 544 736 782 848 901 944 1003 1088 1219 1357 1472 1564 1696 1802 1888 2006 2438 2714 3127 3128 3392 3604 3776 4012 4876 5428 6254 6256 7208 8024 9752 10856 12508 12512 14416 16048 19504 20723 21712 23069 25016 25024 28832 32096 39008 41446 43424 46138 50032 53159 57664 64192 71921 78016 82892 86848 92276 100064 106318 143842 165784 184552 200128 212636 287684 331568 369104 425272 575368 663136 738208 850544 1150736 1222657 1326272 1476416 1701088 2301472 2445314 3402176 4602944 4890628 9781256 19562512 39125024 78250048