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525378048 = 2931383317
BaseRepresentation
bin11111010100001…
…010001000000000
31100121120222012020
4133110022020000
52033444044143
6124044401440
716006432266
oct3724121000
91317528166
10525378048
1124a620338
12127b46280
1384acc3b0
144dac0436
15311cc883
hex1f50a200

525378048 has 160 divisors (see below), whose sum is σ = 1530277056. Its totient is φ = 159203328.

The previous prime is 525378041. The next prime is 525378053. The reversal of 525378048 is 840873525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (525378041) 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, 1657186 + ... + 1657502.

Almost surely, 2525378048 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 525378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765138528).

525378048 is an abundant number, since it is smaller than the sum of its proper divisors (1004899008).

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

525378048 is a wasteful number, since it uses less digits than its factorization.

525378048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The square root of 525378048 is about 22921.1266738788. The cubic root of 525378048 is about 806.9079125754.

The spelling of 525378048 in words is "five hundred twenty-five million, three hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 83 96 104 128 156 166 192 208 249 256 312 317 332 384 416 498 512 624 634 664 768 832 951 996 1079 1248 1268 1328 1536 1664 1902 1992 2158 2496 2536 2656 3237 3328 3804 3984 4121 4316 4992 5072 5312 6474 6656 7608 7968 8242 8632 9984 10144 10624 12363 12948 15216 15936 16484 17264 19968 20288 21248 24726 25896 26311 30432 31872 32968 34528 40576 42496 49452 51792 52622 60864 63744 65936 69056 78933 81152 98904 103584 105244 121728 127488 131872 138112 157866 162304 197808 207168 210488 243456 263744 276224 315732 342043 395616 414336 420976 486912 527488 552448 631464 684086 791232 828672 841952 1026129 1054976 1262928 1368172 1582464 1657344 1683904 2052258 2109952 2525856 2736344 3164928 3367808 4104516 5051712 5472688 6329856 6735616 8209032 10103424 10945376 13471232 16418064 20206848 21890752 32836128 40413696 43781504 65672256 87563008 131344512 175126016 262689024 525378048