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148452738 = 237171931353
BaseRepresentation
bin10001101100100…
…11010110000010
3101100100011212120
420312103112002
5301000441423
622421505110
73451553550
oct1066232602
9340304776
10148452738
1176885815
1241872196
13249a9875
1415a04bd0
15d075ee3
hex8d93582

148452738 has 128 divisors (see below), whose sum is σ = 391495680. Its totient is φ = 36495360.

The previous prime is 148452691. The next prime is 148452797. The reversal of 148452738 is 837254841.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 148452738.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 420370 + ... + 420722.

It is an arithmetic number, because the mean of its divisors is an integer number (3058560).

Almost surely, 2148452738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148452738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195747840).

148452738 is an abundant number, since it is smaller than the sum of its proper divisors (243042942).

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

148452738 is a wasteful number, since it uses less digits than its factorization.

148452738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432.

The product of its digits is 215040, while the sum is 42.

The square root of 148452738 is about 12184.1182692881. The cubic root of 148452738 is about 529.4960654413.

The spelling of 148452738 in words is "one hundred forty-eight million, four hundred fifty-two thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 14 17 19 21 31 34 38 42 51 57 62 93 102 114 119 133 186 217 238 266 323 353 357 399 434 527 589 646 651 706 714 798 969 1054 1059 1178 1302 1581 1767 1938 2118 2261 2471 3162 3534 3689 4123 4522 4942 6001 6707 6783 7378 7413 8246 10013 10943 11067 12002 12369 13414 13566 14826 18003 20026 20121 21886 22134 24738 30039 32829 36006 40242 42007 46949 60078 65658 70091 76601 84014 93898 114019 126021 140182 140847 153202 186031 207917 210273 228038 229803 252042 281694 342057 372062 415834 420546 459606 558093 623751 684114 798133 1116186 1247502 1302217 1455419 1596266 2394399 2604434 2910838 3534589 3906651 4366257 4788798 7069178 7813302 8732514 10603767 21207534 24742123 49484246 74226369 148452738