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148054896 = 243211151619
BaseRepresentation
bin10001101001100…
…10001101110000
3101022120222010200
420310302031300
5300400224041
622405155200
73445305633
oct1064621560
9338528120
10148054896
1176633920
12416bbb00
132489a762
141593dc1a
15cee81b6
hex8d32370

148054896 has 120 divisors (see below), whose sum is σ = 455744640. Its totient is φ = 44496000.

The previous prime is 148054843. The next prime is 148054919. The reversal of 148054896 is 698450841.

148054896 is a `hidden beast` number, since 14 + 8 + 0 + 548 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238875 + ... + 239493.

It is an arithmetic number, because the mean of its divisors is an integer number (3797872).

Almost surely, 2148054896 is an apocalyptic number.

148054896 is a gapful number since it is divisible by the number (16) 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 148054896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227872320).

148054896 is an abundant number, since it is smaller than the sum of its proper divisors (307689744).

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

148054896 is a wasteful number, since it uses less digits than its factorization.

148054896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 148054896 is about 12167.7810631191. The cubic root of 148054896 is about 529.0226392685.

It can be divided in two parts, 14805 and 4896, that added together give a triangular number (19701 = T198).

The spelling of 148054896 in words is "one hundred forty-eight million, fifty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 151 176 198 264 302 396 453 528 604 619 792 906 1208 1238 1359 1584 1661 1812 1857 2416 2476 2718 3322 3624 3714 4952 4983 5436 5571 6644 6809 7248 7428 9904 9966 10872 11142 13288 13618 14856 14949 19932 20427 21744 22284 26576 27236 29712 29898 39864 40854 44568 54472 59796 61281 79728 81708 89136 93469 108944 119592 122562 163416 186938 239184 245124 280407 326832 373876 490248 560814 747752 841221 980496 1028159 1121628 1495504 1682442 2056318 2243256 3084477 3364884 4112636 4486512 6168954 6729768 8225272 9253431 12337908 13459536 16450544 18506862 24675816 37013724 49351632 74027448 148054896