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154428768 = 2534134583
BaseRepresentation
bin10010011010001…
…10010101100000
3101202120210110000
421031012111200
5304013210033
623153540000
73553423434
oct1115062540
9352523400
10154428768
117a19768a
1243874600
1325cbc990
141671c9c4
15d856a13
hex9346560

154428768 has 120 divisors (see below), whose sum is σ = 489213648. Its totient is φ = 47506176.

The previous prime is 154428749. The next prime is 154428779. The reversal of 154428768 is 867824451.

154428768 is a `hidden beast` number, since 154 + 428 + 76 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31405 + ... + 35987.

Almost surely, 2154428768 is an apocalyptic number.

154428768 is a gapful number since it is divisible by the number (18) 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 154428768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244606824).

154428768 is an abundant number, since it is smaller than the sum of its proper divisors (334784880).

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

154428768 is a wasteful number, since it uses less digits than its factorization.

154428768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4618 (or 4601 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 154428768 is about 12426.9371930496. The cubic root of 154428768 is about 536.5078353233.

The spelling of 154428768 in words is "one hundred fifty-four million, four hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 4583 5616 8424 9166 11232 13749 16848 18332 27498 33696 36664 41247 54996 59579 73328 82494 109992 119158 123741 146656 164988 178737 219984 238316 247482 329976 357474 371223 439968 476632 494964 536211 659952 714948 742446 953264 989928 1072422 1319904 1429896 1484892 1608633 1906528 1979856 2144844 2859792 2969784 3217266 3959712 4289688 4825899 5719584 5939568 6434532 8579376 9651798 11879136 12869064 17158752 19303596 25738128 38607192 51476256 77214384 154428768