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13908048 = 2437115371
BaseRepresentation
bin110101000011…
…100001010000
3222011121020220
4311003201100
512030024143
61214033040
7226134150
oct65034120
928147226
1013908048
11793a360
1247a8780
132b5c61b
141bc0760
15134ad83
hexd43850

13908048 has 160 divisors (see below), whose sum is σ = 46282752. Its totient is φ = 3494400.

The previous prime is 13908043. The next prime is 13908053. The reversal of 13908048 is 84080931.

It is an interprime number because it is at equal distance from previous prime (13908043) and next prime (13908053).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13908043) 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, 195853 + ... + 195923.

Almost surely, 213908048 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 13908048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23141376).

13908048 is an abundant number, since it is smaller than the sum of its proper divisors (32374704).

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

13908048 is a wasteful number, since it uses less digits than its factorization.

13908048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 13908048 is about 3729.3495411398. The cubic root of 13908048 is about 240.4854064793.

Adding to 13908048 its reverse (84080931), we get a palindrome (97988979).

It can be divided in two parts, 139080 and 48, that added together give a triangular number (139128 = T527).

The spelling of 13908048 in words is "thirteen million, nine hundred eight thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 53 56 66 71 77 84 88 106 112 132 142 154 159 168 176 212 213 231 264 284 308 318 336 371 424 426 462 497 528 568 583 616 636 742 781 848 852 924 994 1113 1136 1166 1232 1272 1484 1491 1562 1704 1749 1848 1988 2226 2332 2343 2544 2968 2982 3124 3408 3498 3696 3763 3976 4081 4452 4664 4686 5467 5936 5964 6248 6996 7526 7952 8162 8904 9328 9372 10934 11289 11928 12243 12496 13992 15052 16324 16401 17808 18744 21868 22578 23856 24486 26341 27984 30104 32648 32802 37488 41393 43736 45156 48972 52682 60208 65296 65604 79023 82786 87472 90312 97944 105364 124179 131208 158046 165572 180624 195888 210728 248358 262416 289751 316092 331144 421456 496716 579502 632184 662288 869253 993432 1159004 1264368 1738506 1986864 2318008 3477012 4636016 6954024 13908048