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190496448 = 26371361
BaseRepresentation
bin10110101101010…
…11111011000000
3111021110020000000
423112223323000
5342231341243
630523000000
74502123142
oct1326537300
9437406000
10190496448
119859188a
1253969000
133060a6bc
141b42ac92
1511acd5d3
hexb5abec0

190496448 has 112 divisors (see below), whose sum is σ = 567354720. Its totient is φ = 63452160.

The previous prime is 190496429. The next prime is 190496459. The reversal of 190496448 is 844694091.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139288 + ... + 140648.

Almost surely, 2190496448 is an apocalyptic number.

190496448 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 190496448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283677360).

190496448 is an abundant number, since it is smaller than the sum of its proper divisors (376858272).

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

190496448 is an frugal number, since it uses more digits than its factorization.

190496448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 190496448 is about 13802.0450658589. The cubic root of 190496448 is about 575.3899791770.

The spelling of 190496448 in words is "one hundred ninety million, four hundred ninety-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1361 1458 1728 1944 2187 2592 2722 2916 3888 4083 4374 5184 5444 5832 7776 8166 8748 10888 11664 12249 15552 16332 17496 21776 23328 24498 32664 34992 36747 43552 46656 48996 65328 69984 73494 87104 97992 110241 130656 139968 146988 195984 220482 261312 293976 330723 391968 440964 587952 661446 783936 881928 992169 1175904 1322892 1763856 1984338 2351808 2645784 2976507 3527712 3968676 5291568 5953014 7055424 7937352 10583136 11906028 15874704 21166272 23812056 31749408 47624112 63498816 95248224 190496448