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161496048 = 24371941617
BaseRepresentation
bin10011010000000…
…11101111110000
3102020212211221010
421220003233300
5312320333143
624005230520
74000456650
oct1150035760
9366784833
10161496048
118318440a
1246102440
13275c56bc
141763c360
15e2a0a33
hex9a03bf0

161496048 has 160 divisors (see below), whose sum is σ = 514967040. Its totient is φ = 42577920.

The previous prime is 161496047. The next prime is 161496053. The reversal of 161496048 is 840694161.

It is a junction number, because it is equal to n+sod(n) for n = 161495997 and 161496015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161496043) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 261436 + ... + 262052.

It is an arithmetic number, because the mean of its divisors is an integer number (3218544).

Almost surely, 2161496048 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 161496048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257483520).

161496048 is an abundant number, since it is smaller than the sum of its proper divisors (353470992).

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

161496048 is a wasteful number, since it uses less digits than its factorization.

161496048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 161496048 is about 12708.1095368273. The cubic root of 161496048 is about 544.5703181157.

The spelling of 161496048 in words is "one hundred sixty-one million, four hundred ninety-six thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 41 42 48 56 57 76 82 84 112 114 123 133 152 164 168 228 246 266 287 304 328 336 399 456 492 532 574 617 656 779 798 861 912 984 1064 1148 1234 1558 1596 1722 1851 1968 2128 2296 2337 2468 3116 3192 3444 3702 4319 4592 4674 4936 5453 6232 6384 6888 7404 8638 9348 9872 10906 11723 12464 12957 13776 14808 16359 17276 18696 21812 23446 25297 25914 29616 32718 34552 35169 37392 43624 46892 50594 51828 65436 69104 70338 75891 82061 87248 93784 101188 103656 130872 140676 151782 164122 177079 187568 202376 207312 246183 261744 281352 303564 328244 354158 404752 480643 492366 531237 562704 607128 656488 708316 961286 984732 1062474 1214256 1312976 1416632 1441929 1922572 1969464 2124948 2833264 2883858 3364501 3845144 3938928 4249896 5767716 6729002 7690288 8499792 10093503 11535432 13458004 20187006 23070864 26916008 40374012 53832016 80748024 161496048