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25823070 = 23357131051
BaseRepresentation
bin110001010000…
…0011101011110
31210120221121000
41202200131132
523102314240
62321251130
7432330630
oct142403536
953527530
1025823070
1113638289
128793aa6
135471a30
143602a50
152401430
hex18a075e

25823070 has 128 divisors (see below), whose sum is σ = 84833280. Its totient is φ = 5443200.

The previous prime is 25823047. The next prime is 25823107. The reversal of 25823070 is 7032852.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24045 + ... + 25095.

It is an arithmetic number, because the mean of its divisors is an integer number (662760).

Almost surely, 225823070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25823070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42416640).

25823070 is an abundant number, since it is smaller than the sum of its proper divisors (59010210).

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

25823070 is a wasteful number, since it uses less digits than its factorization.

25823070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1081 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 25823070 is about 5081.6404831511. The cubic root of 25823070 is about 295.5760838898.

The spelling of 25823070 in words is "twenty-five million, eight hundred twenty-three thousand, seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1051 1170 1365 1638 1755 1890 2102 2457 2730 3153 3510 4095 4914 5255 6306 7357 8190 9459 10510 12285 13663 14714 15765 18918 22071 24570 27326 28377 31530 36785 40989 44142 47295 56754 66213 68315 73570 81978 94590 95641 110355 122967 132426 136630 141885 191282 198639 204945 220710 245934 283770 286923 331065 368901 397278 409890 478205 573846 614835 662130 737802 860769 956410 993195 1229670 1434615 1721538 1844505 1986390 2582307 2869230 3689010 4303845 5164614 8607690 12911535 25823070