Search a number
-
+
28501152 = 2533161157
BaseRepresentation
bin110110010111…
…0010010100000
31222122000020020
41230232102200
524244014102
62454513440
7464153511
oct154562240
958560206
1028501152
11150a7379
129665880
135b9b9b4
143adca08
15277ebbc
hex1b2e4a0

28501152 has 96 divisors (see below), whose sum is σ = 78994944. Its totient is φ = 8985600.

The previous prime is 28501141. The next prime is 28501177. The reversal of 28501152 is 25110582.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 181458 + ... + 181614.

It is an arithmetic number, because the mean of its divisors is an integer number (822864).

Almost surely, 228501152 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 28501152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39497472).

28501152 is an abundant number, since it is smaller than the sum of its proper divisors (50493792).

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

28501152 is a wasteful number, since it uses less digits than its factorization.

28501152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 28501152 is about 5338.6470196109. The cubic root of 28501152 is about 305.4598527732.

The spelling of 28501152 in words is "twenty-eight million, five hundred one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 61 62 93 96 122 124 157 183 186 244 248 314 366 372 471 488 496 628 732 744 942 976 992 1256 1464 1488 1884 1891 1952 2512 2928 2976 3768 3782 4867 5024 5673 5856 7536 7564 9577 9734 11346 14601 15072 15128 19154 19468 22692 28731 29202 30256 38308 38936 45384 57462 58404 60512 76616 77872 90768 114924 116808 153232 155744 181536 229848 233616 296887 306464 459696 467232 593774 890661 919392 1187548 1781322 2375096 3562644 4750192 7125288 9500384 14250576 28501152