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425188608 = 28313371151
BaseRepresentation
bin11001010101111…
…101110100000000
31002122001211010020
4121111331310000
51332322013413
6110105133440
713352020635
oct3125756400
91078054106
10425188608
111a900a549
12ba48a280
136a1205c0
144068018c
15274dbc23
hex1957dd00

425188608 has 144 divisors (see below), whose sum is σ = 1252694016. Its totient is φ = 127180800.

The previous prime is 425188583. The next prime is 425188609. The reversal of 425188608 is 806881524.

It is a self number, because there is not a number n which added to its sum of digits gives 425188608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425188609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 368833 + ... + 369983.

It is an arithmetic number, because the mean of its divisors is an integer number (8699264).

Almost surely, 2425188608 is an apocalyptic number.

425188608 is a gapful number since it is divisible by the number (48) 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 425188608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626347008).

425188608 is an abundant number, since it is smaller than the sum of its proper divisors (827505408).

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

425188608 is a wasteful number, since it uses less digits than its factorization.

425188608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1206 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 425188608 is about 20620.1020366050. The cubic root of 425188608 is about 751.9585008033.

The spelling of 425188608 in words is "four hundred twenty-five million, one hundred eighty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 64 74 78 96 104 111 128 148 156 192 208 222 256 296 312 384 416 444 481 592 624 768 832 888 962 1151 1184 1248 1443 1664 1776 1924 2302 2368 2496 2886 3328 3453 3552 3848 4604 4736 4992 5772 6906 7104 7696 9208 9472 9984 11544 13812 14208 14963 15392 18416 23088 27624 28416 29926 30784 36832 42587 44889 46176 55248 59852 61568 73664 85174 89778 92352 110496 119704 123136 127761 147328 170348 179556 184704 220992 239408 255522 294656 340696 359112 369408 441984 478816 511044 553631 681392 718224 883968 957632 1022088 1107262 1362784 1436448 1660893 1915264 2044176 2214524 2725568 2872896 3321786 3830528 4088352 4429048 5451136 5745792 6643572 8176704 8858096 10902272 11491584 13287144 16353408 17716192 26574288 32706816 35432384 53148576 70864768 106297152 141729536 212594304 425188608