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2025574656 = 2837577653
BaseRepresentation
bin111100010111011…
…1101000100000000
312020011110212001120
41320232331010000
513122021342111
6532555032240
7101124046320
oct17056750400
95204425046
102025574656
1194a425246
1248643b680
1326385ccb1
14153035280
15bcc65406
hex78bbd100

2025574656 has 144 divisors (see below), whose sum is σ = 6181252224. Its totient is φ = 576847872.

The previous prime is 2025574643. The next prime is 2025574669. The reversal of 2025574656 is 6564755202.

It is an interprime number because it is at equal distance from previous prime (2025574643) and next prime (2025574669).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 3101626 + ... + 3102278.

Almost surely, 22025574656 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 2025574656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090626112).

2025574656 is an abundant number, since it is smaller than the sum of its proper divisors (4155677568).

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

2025574656 is an equidigital number, since it uses as much as digits as its factorization.

2025574656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The square root of 2025574656 is about 45006.3846137412. The cubic root of 2025574656 is about 1265.2686616072.

The spelling of 2025574656 in words is "two billion, twenty-five million, five hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 577 653 672 768 896 1154 1306 1344 1731 1792 1959 2308 2612 2688 3462 3918 4039 4571 4616 5224 5376 6924 7836 8078 9142 9232 10448 12117 13713 13848 15672 16156 18284 18464 20896 24234 27426 27696 31344 32312 36568 36928 41792 48468 54852 55392 62688 64624 73136 73856 83584 96936 109704 110784 125376 129248 146272 147712 167168 193872 219408 221568 250752 258496 292544 376781 387744 438816 443136 501504 516992 585088 753562 775488 877632 1033984 1130343 1170176 1507124 1550976 1755264 2260686 2637467 3014248 3101952 3510528 4521372 5274934 6028496 7912401 9042744 10549868 12056992 15824802 18085488 21099736 24113984 31649604 36170976 42199472 48227968 63299208 72341952 84398944 96455936 126598416 144683904 168797888 253196832 289367808 337595776 506393664 675191552 1012787328 2025574656