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54374976 = 263417617
BaseRepresentation
bin1100111101101…
…1001001000000
310210022112110000
43033123021000
5102404444401
65221240000
71230115425
oct317331100
9123275400
1054374976
11287697a7
1216263000
13b35a856
147315d4c
154b91186
hex33db240

54374976 has 140 divisors (see below), whose sum is σ = 170942508. Its totient is φ = 17031168.

The previous prime is 54374953. The next prime is 54374981. The reversal of 54374976 is 67947345.

It can be written as a sum of positive squares in 2 ways, for example, as 18662400 + 35712576 = 4320^2 + 5976^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87820 + ... + 88436.

Almost surely, 254374976 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 54374976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85471254).

54374976 is an abundant number, since it is smaller than the sum of its proper divisors (116567532).

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

54374976 is a wasteful number, since it uses less digits than its factorization.

54374976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 639 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 54374976 is about 7373.9389745237. The cubic root of 54374976 is about 378.8491868450.

The spelling of 54374976 in words is "fifty-four million, three hundred seventy-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 617 648 816 864 918 1088 1224 1234 1296 1377 1632 1728 1836 1851 2448 2468 2592 2754 3264 3672 3702 4896 4936 5184 5508 5553 7344 7404 9792 9872 10489 11016 11106 14688 14808 16659 19744 20978 22032 22212 29376 29616 31467 33318 39488 41956 44064 44424 49977 59232 62934 66636 83912 88128 88848 94401 99954 118464 125868 133272 167824 177696 188802 199908 251736 266544 283203 335648 355392 377604 399816 503472 533088 566406 671296 755208 799632 849609 1006944 1066176 1132812 1510416 1599264 1699218 2013888 2265624 3020832 3198528 3398436 4531248 6041664 6796872 9062496 13593744 18124992 27187488 54374976