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3898752 = 273111371
BaseRepresentation
bin1110110111110110000000
321100002002020
432313312000
51444230002
6215321440
745065424
oct16676600
97302066
103898752
112223210
121380280
13a66770
14736b84
155202bc
hex3b7d80

3898752 has 128 divisors (see below), whose sum is σ = 12337920. Its totient is φ = 1075200.

The previous prime is 3898751. The next prime is 3898757. The reversal of 3898752 is 2578983.

It is a tau number, because it is divible by the number of its divisors (128).

Its product of digits (120960) is a multiple of the sum of its prime factors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3898751) 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, 54877 + ... + 54947.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

Almost surely, 23898752 is an apocalyptic number.

3898752 is a gapful number since it is divisible by the number (32) 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 3898752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168960).

3898752 is an abundant number, since it is smaller than the sum of its proper divisors (8439168).

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

3898752 is a wasteful number, since it uses less digits than its factorization.

3898752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its digits is 120960, while the sum is 42.

The square root of 3898752 is about 1974.5257658486. The cubic root of 3898752 is about 157.3892998888.

It can be divided in two parts, 38 and 98752, that added together give a triangular number (98790 = T444).

The spelling of 3898752 in words is "three million, eight hundred ninety-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 71 78 88 96 104 128 132 142 143 156 176 192 208 213 264 284 286 312 352 384 416 426 429 528 568 572 624 704 781 832 852 858 923 1056 1136 1144 1248 1408 1562 1664 1704 1716 1846 2112 2272 2288 2343 2496 2769 3124 3408 3432 3692 4224 4544 4576 4686 4992 5538 6248 6816 6864 7384 9088 9152 9372 10153 11076 12496 13632 13728 14768 18304 18744 20306 22152 24992 27264 27456 29536 30459 37488 40612 44304 49984 54912 59072 60918 74976 81224 88608 99968 118144 121836 149952 162448 177216 243672 299904 324896 354432 487344 649792 974688 1299584 1949376 3898752