Search a number
-
+
90473152 = 2671121669
BaseRepresentation
bin1010110010010…
…00001011000000
320022020111211111
411121020023000
5141130120102
612551053104
72146003060
oct531101300
9208214744
1090473152
1147084900
1226371194
1315989413
14c0313a0
157e21cd7
hex56482c0

90473152 has 84 divisors (see below), whose sum is σ = 225663760. Its totient is φ = 35228160.

The previous prime is 90473093. The next prime is 90473153. The reversal of 90473152 is 25137409.

It is not an unprimeable number, because it can be changed into a prime (90473153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53374 + ... + 55042.

Almost surely, 290473152 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 90473152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112831880).

90473152 is an abundant number, since it is smaller than the sum of its proper divisors (135190608).

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

90473152 is a wasteful number, since it uses less digits than its factorization.

90473152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710 (or 1689 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 90473152 is about 9511.7375909978. The cubic root of 90473152 is about 448.9244304477.

The spelling of 90473152 in words is "ninety million, four hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 121 154 176 224 242 308 352 448 484 616 704 847 968 1232 1669 1694 1936 2464 3338 3388 3872 4928 6676 6776 7744 11683 13352 13552 18359 23366 26704 27104 36718 46732 53408 54208 73436 93464 106816 128513 146872 186928 201949 257026 293744 373856 403898 514052 587488 747712 807796 1028104 1174976 1413643 1615592 2056208 2827286 3231184 4112416 5654572 6462368 8224832 11309144 12924736 22618288 45236576 90473152