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155720448 = 2833131733
BaseRepresentation
bin10010100100000…
…01101100000000
3101212000102022000
421102001230000
5304331023243
623241344000
73600413322
oct1122015400
9355012260
10155720448
117a99a094
1244198000
13263528a0
1416977612
15da0e5d3
hex9481b00

155720448 has 144 divisors (see below), whose sum is σ = 496201440. Its totient is φ = 47886336.

The previous prime is 155720443. The next prime is 155720473. The reversal of 155720448 is 844027551.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155720443) 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, 88990 + ... + 90722.

Almost surely, 2155720448 is an apocalyptic number.

155720448 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 155720448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248100720).

155720448 is an abundant number, since it is smaller than the sum of its proper divisors (340480992).

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

155720448 is a wasteful number, since it uses less digits than its factorization.

155720448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 155720448 is about 12478.7999423021. The cubic root of 155720448 is about 537.9995117071. Note that the first 3 decimals are identical.

Adding to 155720448 its reverse (844027551), we get a palindrome (999747999).

The spelling of 155720448 in words is "one hundred fifty-five million, seven hundred twenty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 256 288 312 351 384 416 432 468 576 624 702 768 832 864 936 1152 1248 1404 1664 1728 1733 1872 2304 2496 2808 3328 3456 3466 3744 4992 5199 5616 6912 6932 7488 9984 10398 11232 13864 14976 15597 20796 22464 22529 27728 29952 31194 41592 44928 45058 46791 55456 62388 67587 83184 89856 90116 93582 110912 124776 135174 166368 180232 187164 202761 221824 249552 270348 332736 360464 374328 405522 443648 499104 540696 608283 665472 720928 748656 811044 998208 1081392 1216566 1330944 1441856 1497312 1622088 1996416 2162784 2433132 2883712 2994624 3244176 3992832 4325568 4866264 5767424 5989248 6488352 8651136 9732528 11978496 12976704 17302272 19465056 25953408 38930112 51906816 77860224 155720448