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190397952 = 29344591
BaseRepresentation
bin10110101100100…
…11111000000000
3111021021012220000
423112103320000
5342220213302
630520520000
74501233033
oct1326237000
9437235800
10190397952
1198524888
1253920000
13305a4914
141b40301a
1511aae31c
hexb593e00

190397952 has 100 divisors (see below), whose sum is σ = 568411536. Its totient is φ = 63452160.

The previous prime is 190397929. The next prime is 190397969. The reversal of 190397952 is 259793091.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 190397898 and 190397907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 39177 + ... + 43767.

Almost surely, 2190397952 is an apocalyptic number.

190397952 is a gapful number since it is divisible by the number (12) 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 190397952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284205768).

190397952 is an abundant number, since it is smaller than the sum of its proper divisors (378013584).

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

190397952 is an frugal number, since it uses more digits than its factorization.

190397952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4621 (or 4596 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 190397952 is about 13798.4764376361. The cubic root of 190397952 is about 575.2907938073.

The spelling of 190397952 in words is "one hundred ninety million, three hundred ninety-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1152 1296 1536 1728 2304 2592 3456 4591 4608 5184 6912 9182 10368 13773 13824 18364 20736 27546 36728 41319 41472 55092 73456 82638 110184 123957 146912 165276 220368 247914 293824 330552 371871 440736 495828 587648 661104 743742 881472 991656 1175296 1322208 1487484 1762944 1983312 2350592 2644416 2974968 3525888 3966624 5288832 5949936 7051776 7933248 10577664 11899872 15866496 21155328 23799744 31732992 47599488 63465984 95198976 190397952