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425004624 = 243311175261
BaseRepresentation
bin11001010101010…
…000111001010000
31002121201110202000
4121111100321100
51332300121444
6110101154000
713350323352
oct3125207120
91077643660
10425004624
111a89a42a0
12ba3bb900
136a087935
14406330d2
15274a2469
hex19550e50

425004624 has 160 divisors (see below), whose sum is σ = 1409374080. Its totient is φ = 121190400.

The previous prime is 425004623. The next prime is 425004631. The reversal of 425004624 is 426400524.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425004623) 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, 78154 + ... + 83414.

It is an arithmetic number, because the mean of its divisors is an integer number (8808588).

Almost surely, 2425004624 is an apocalyptic number.

425004624 is a gapful number since it is divisible by the number (44) 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 425004624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (704687040).

425004624 is an abundant number, since it is smaller than the sum of its proper divisors (984369456).

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

425004624 is a wasteful number, since it uses less digits than its factorization.

425004624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5306 (or 5294 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 425004624 is about 20615.6402762563. The cubic root of 425004624 is about 751.8500247921.

It can be divided in two parts, 4250046 and 24, that added together give a triangular number (4250070 = T2915).

The spelling of 425004624 in words is "four hundred twenty-five million, four thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 27 33 34 36 44 48 51 54 66 68 72 88 99 102 108 132 136 144 153 176 187 198 204 216 264 272 297 306 374 396 408 432 459 528 561 594 612 748 792 816 918 1122 1188 1224 1496 1584 1683 1836 2244 2376 2448 2992 3366 3672 4488 4752 5049 5261 6732 7344 8976 10098 10522 13464 15783 20196 21044 26928 31566 40392 42088 47349 57871 63132 80784 84176 89437 94698 115742 126264 142047 173613 178874 189396 231484 252528 268311 284094 347226 357748 378792 462968 520839 536622 568188 694452 715496 757584 804933 925936 983807 1041678 1073244 1136376 1388904 1430992 1562517 1609866 1967614 2083356 2146488 2272752 2414799 2777808 2951421 3125034 3219732 3935228 4166712 4292976 4829598 5902842 6250068 6439464 7870456 8333424 8854263 9659196 11805684 12500136 12878928 15740912 17708526 19318392 23611368 25000272 26562789 35417052 38636784 47222736 53125578 70834104 106251156 141668208 212502312 425004624