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145411552 = 25111343739
BaseRepresentation
bin10001010101011…
…00110111100000
3101010121200011001
420222230313200
5244211132202
622232401344
73413656246
oct1052546740
9333550131
10145411552
1175098940
1240846254
1324183550
1415452796
15cb74d87
hex8aacde0

145411552 has 96 divisors (see below), whose sum is σ = 344615040. Its totient is φ = 59512320.

The previous prime is 145411537. The next prime is 145411573. The reversal of 145411552 is 255114541.

It is a super-2 number, since 2×1454115522 = 42289038910097408, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145411552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196399 + ... + 197137.

It is an arithmetic number, because the mean of its divisors is an integer number (3589740).

Almost surely, 2145411552 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 145411552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172307520).

145411552 is an abundant number, since it is smaller than the sum of its proper divisors (199203488).

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

145411552 is a wasteful number, since it uses less digits than its factorization.

145411552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 808 counting only the distinct ones).

The product of its digits is 4000, while the sum is 28.

The square root of 145411552 is about 12058.6712369150. The cubic root of 145411552 is about 525.8553578785.

The spelling of 145411552 in words is "one hundred forty-five million, four hundred eleven thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 43 44 52 86 88 104 143 172 176 208 286 344 352 416 473 559 572 688 739 946 1118 1144 1376 1478 1892 2236 2288 2956 3784 4472 4576 5912 6149 7568 8129 8944 9607 11824 12298 15136 16258 17888 19214 23648 24596 31777 32516 38428 49192 63554 65032 76856 98384 105677 127108 130064 153712 196768 211354 254216 260128 307424 349547 413101 422708 508432 699094 826202 845416 1016864 1398188 1652404 1690832 2796376 3304808 3381664 4544111 5592752 6609616 9088222 11185504 13219232 18176444 36352888 72705776 145411552