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625025640 = 233543891361
BaseRepresentation
bin100101010000010…
…010001001101000
31121120002120222210
4211100102021220
52240001310030
6142004245120
721326426121
oct4520221150
91546076883
10625025640
112a08a1018
121553a07a0
139c64b675
145d01d048
1539d12bb0
hex25412268

625025640 has 128 divisors (see below), whose sum is σ = 1941667200. Its totient is φ = 160849920.

The previous prime is 625025633. The next prime is 625025641. The reversal of 625025640 is 46520526.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 625025598 and 625025607.

It is not an unprimeable number, because it can be changed into a prime (625025641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458560 + ... + 459920.

It is an arithmetic number, because the mean of its divisors is an integer number (15169275).

Almost surely, 2625025640 is an apocalyptic number.

625025640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625025640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970833600).

625025640 is an abundant number, since it is smaller than the sum of its proper divisors (1316641560).

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

625025640 is a wasteful number, since it uses less digits than its factorization.

625025640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1503 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 625025640 is about 25000.5127947408. The cubic root of 625025640 is about 854.9996648540. Note that the first 3 decimals are identical.

The spelling of 625025640 in words is "six hundred twenty-five million, twenty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 89 120 129 172 178 215 258 267 344 356 430 445 516 534 645 712 860 890 1032 1068 1290 1335 1361 1720 1780 2136 2580 2670 2722 3560 3827 4083 5160 5340 5444 6805 7654 8166 10680 10888 11481 13610 15308 16332 19135 20415 22962 27220 30616 32664 38270 40830 45924 54440 57405 58523 76540 81660 91848 114810 117046 121129 153080 163320 175569 229620 234092 242258 292615 351138 363387 459240 468184 484516 585230 605645 702276 726774 877845 969032 1170460 1211290 1404552 1453548 1755690 1816935 2340920 2422580 2907096 3511380 3633870 4845160 5208547 7022760 7267740 10417094 14535480 15625641 20834188 26042735 31251282 41668376 52085470 62502564 78128205 104170940 125005128 156256410 208341880 312512820 625025640