Search a number
-
+
151059552 = 25372171889
BaseRepresentation
bin10010000000011…
…11110001100000
3101112020121202020
421000033301200
5302132401202
622553421440
73512661600
oct1100176140
9345217666
10151059552
11782a6306
124270a880
13253b0267
14160c2c00
15d3dd5bc
hex900fc60

151059552 has 144 divisors (see below), whose sum is σ = 488663280. Its totient is φ = 40599552.

The previous prime is 151059541. The next prime is 151059553. The reversal of 151059552 is 255950151.

151059552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151059553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79024 + ... + 80912.

It is an arithmetic number, because the mean of its divisors is an integer number (3393495).

Almost surely, 2151059552 is an apocalyptic number.

151059552 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 151059552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244331640).

151059552 is an abundant number, since it is smaller than the sum of its proper divisors (337603728).

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

151059552 is a wasteful number, since it uses less digits than its factorization.

151059552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 33.

The square root of 151059552 is about 12290.6286250948. The cubic root of 151059552 is about 532.5773971126.

The spelling of 151059552 in words is "one hundred fifty-one million, fifty-nine thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 68 84 96 98 102 112 119 136 147 168 196 204 224 238 272 294 336 357 392 408 476 544 588 672 714 784 816 833 952 1176 1428 1568 1632 1666 1889 1904 2352 2499 2856 3332 3778 3808 4704 4998 5667 5712 6664 7556 9996 11334 11424 13223 13328 15112 19992 22668 26446 26656 30224 32113 39669 39984 45336 52892 60448 64226 79338 79968 90672 92561 96339 105784 128452 158676 181344 185122 192678 211568 224791 256904 277683 317352 370244 385356 423136 449582 513808 555366 634704 674373 740488 770712 899164 1027616 1110732 1269408 1348746 1480976 1541424 1573537 1798328 2221464 2697492 2961952 3082848 3147074 3596656 4442928 4720611 5394984 6294148 7193312 8885856 9441222 10789968 12588296 18882444 21579936 25176592 37764888 50353184 75529776 151059552