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151621248 = 2733147271
BaseRepresentation
bin10010000100110…
…00111010000000
3101120022011020210
421002120322000
5302303334443
623013434120
73520521312
oct1102307200
9346264223
10151621248
117864a319
124293b940
1325548b1c
14161cb7b2
15d49ec33
hex9098e80

151621248 has 128 divisors (see below), whose sum is σ = 426147840. Its totient is φ = 47692800.

The previous prime is 151621243. The next prime is 151621271. The reversal of 151621248 is 842126151.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (151621241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559353 + ... + 559623.

It is an arithmetic number, because the mean of its divisors is an integer number (3329280).

Almost surely, 2151621248 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 151621248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213073920).

151621248 is an abundant number, since it is smaller than the sum of its proper divisors (274526592).

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

151621248 is a wasteful number, since it uses less digits than its factorization.

151621248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 354 counting only the distinct ones).

The product of its digits is 3840, while the sum is 30.

The square root of 151621248 is about 12313.4580033393. The cubic root of 151621248 is about 533.2366880435.

Adding to 151621248 its reverse (842126151), we get a palindrome (993747399).

The spelling of 151621248 in words is "one hundred fifty-one million, six hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 64 93 94 96 124 128 141 186 188 192 248 271 282 372 376 384 496 542 564 744 752 813 992 1084 1128 1457 1488 1504 1626 1984 2168 2256 2914 2976 3008 3252 3968 4336 4371 4512 5828 5952 6016 6504 8401 8672 8742 9024 11656 11904 12737 13008 16802 17344 17484 18048 23312 25203 25474 26016 33604 34688 34968 38211 46624 50406 50948 52032 67208 69936 76422 93248 100812 101896 104064 134416 139872 152844 186496 201624 203792 268832 279744 305688 394847 403248 407584 537664 559488 611376 789694 806496 815168 1075328 1184541 1222752 1579388 1612992 1630336 2369082 2445504 3158776 3225984 4738164 4891008 6317552 9476328 12635104 18952656 25270208 37905312 50540416 75810624 151621248