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5228525400 = 2335272177841
BaseRepresentation
bin1001101111010010…
…01111011101011000
3111111101101121110220
410313221033131120
541202000303100
62222453240040
7243365506200
oct46751173530
914441347426
105228525400
11224340357a
12101b033020
136542c2917
1437858b400
15209047aa0
hex137a4f758

5228525400 has 144 divisors (see below), whose sum is σ = 18854808840. Its totient is φ = 1195084800.

The previous prime is 5228525371. The next prime is 5228525417. The reversal of 5228525400 is 45258225.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59521 + ... + 118320.

Almost surely, 25228525400 is an apocalyptic number.

5228525400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5228525400 is an abundant number, since it is smaller than the sum of its proper divisors (13626283440).

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

5228525400 is a wasteful number, since it uses less digits than its factorization.

5228525400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177874 (or 177858 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 33.

The square root of 5228525400 is about 72308.5430637349. The cubic root of 5228525400 is about 1735.6403608108.

The spelling of 5228525400 in words is "five billion, two hundred twenty-eight million, five hundred twenty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4900 5880 7350 9800 14700 29400 177841 355682 533523 711364 889205 1067046 1244887 1422728 1778410 2134092 2489774 2667615 3556820 3734661 4268184 4446025 4979548 5335230 6224435 7113640 7469322 8714209 8892050 9959096 10670460 12448870 13338075 14938644 17428418 17784100 18673305 21340920 24897740 26142627 26676150 29877288 31122175 34856836 35568200 37346610 43571045 49795480 52285254 53352300 62244350 69713672 74693220 87142090 93366525 104570508 106704600 124488700 130713135 149386440 174284180 186733050 209141016 217855225 248977400 261426270 348568360 373466100 435710450 522852540 653565675 746932200 871420900 1045705080 1307131350 1742841800 2614262700 5228525400